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Removing DESpecs directory which deserted to git
| author | Klaus Thoden <kthoden@mpiwg-berlin.mpg.de> |
|---|---|
| date | Wed, 29 Nov 2017 16:55:37 +0100 |
| parents | 22d6a63640c6 |
| children |
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<?xml version="1.0" encoding="utf-8"?><echo xmlns="http://www.mpiwg-berlin.mpg.de/ns/echo/1.0/" xmlns:de="http://www.mpiwg-berlin.mpg.de/ns/de/1.0/" xmlns:dcterms="http://purl.org/dc/terms" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:echo="http://www.mpiwg-berlin.mpg.de/ns/echo/1.0/" xmlns:xhtml="http://www.w3.org/1999/xhtml" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" version="1.0RC"> <metadata> <dcterms:identifier>ECHO:C3M2XK8N.xml</dcterms:identifier> <dcterms:creator identifier="GND:119197430">Heron Alexandrinus</dcterms:creator> <dcterms:contributor identifier="GND:120407604">Aleotti, Giovanni Battista</dcterms:contributor> <dcterms:title xml:lang="la">Heronis Alexandrini Spiritalium liber</dcterms:title> <dcterms:date xsi:type="dcterms:W3CDTF">1680</dcterms:date> <dcterms:language xsi:type="dcterms:ISO639-3">lat</dcterms:language> <dcterms:rights>CC-BY-SA</dcterms:rights> <dcterms:license xlink:href="http://creativecommons.org/licenses/by-sa/3.0/">CC-BY-SA</dcterms:license> <dcterms:rightsHolder xlink:href="http://www.mpiwg-berlin.mpg.de">Max Planck Institute for the History of Science, Library</dcterms:rightsHolder> </metadata> <text xml:lang="la" type="free"> <div xml:id="echoid-div1" type="section" level="1" n="1"><pb file="0001" n="1"/> <handwritten/> <pb file="0002" n="2"/> <handwritten/> <handwritten/> <figure> <image file="0002-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0002-01"/> </figure> <handwritten/> <handwritten/> <pb file="0003" n="3"/> </div> <div xml:id="echoid-div2" type="section" level="1" n="2"> <head xml:id="echoid-head1" xml:space="preserve">HERONIS</head> <head xml:id="echoid-head2" xml:space="preserve">ALEXANDRINI</head> <head xml:id="echoid-head3" xml:space="preserve">SPIRITALIUM</head> <head xml:id="echoid-head4" xml:space="preserve">LIBER, <lb/>à <lb/>FEDERICO COMMANDINO URBINATE</head> <head xml:id="echoid-head5" xml:space="preserve">ex Græco in Latinum converſus.</head> <head xml:id="echoid-head6" xml:space="preserve">Huic editioni acceſſerunt</head> <head xml:id="echoid-head7" xml:space="preserve">JO. BAPT. ALEOTTI</head> <head xml:id="echoid-head8" xml:space="preserve">Quatuor Theoremata Spiritalia, <lb/>Ex Italico in Latinum converſa.</head> <figure> <image file="0003-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0003-01"/> </figure> <handwritten/> </div> <div xml:id="echoid-div3" type="section" level="1" n="3"> <head xml:id="echoid-head9" xml:space="preserve">AMSTELODAMI, <lb/>Apud <emph style="sc">JANSSONIO - WAESBERGIOS.</emph> <lb/>M. DC. LXXX.</head> <pb file="0004" n="4"/> <pb file="0005" n="5"/> </div> <div xml:id="echoid-div4" type="section" level="1" n="4"> <head xml:id="echoid-head10" xml:space="preserve">TYPOGRAPHUS <lb/>LECTORIS.</head> <p> <s xml:id="echoid-s1" xml:space="preserve">EN tibi, benevole Lector, Heronis Ale-<lb/>xandrini {πν}{ευ}{μα}{τι}{καὶ}, ſive, Librum Spiritalium. <lb/></s> <s xml:id="echoid-s2" xml:space="preserve">Heronis, inquam, qui ſummis Mathemati-<lb/>cis accenſeri meretur, judicio Gregorii <lb/>Nazianzeni Orat. </s> <s xml:id="echoid-s3" xml:space="preserve">10. </s> <s xml:id="echoid-s4" xml:space="preserve">in laudem Cæſarii <lb/>fratris. </s> <s xml:id="echoid-s5" xml:space="preserve">Floruit ipſe Olympiade 165. </s> <s xml:id="echoid-s6" xml:space="preserve">tempore quo <lb/>Ægypto imperabat Ptolemæus Euergeta 11. </s> <s xml:id="echoid-s7" xml:space="preserve">ſcripſit-<lb/>que præter hoc opus libros 2. </s> <s xml:id="echoid-s8" xml:space="preserve">ἀυ{το}{μα}{τι}κη~ς {προ}γ{μα}τ{εί}{ας}, id eſt, <lb/>de Machinis ſe moventibus: </s> <s xml:id="echoid-s9" xml:space="preserve">& </s> <s xml:id="echoid-s10" xml:space="preserve">πολισρχη{τι}{καὶ}, ſive de Machinis <lb/>bellicis. </s> <s xml:id="echoid-s11" xml:space="preserve">Scripſit etiam βελο{πο}ιΐ{αι<unsure/>}, ſive de Arte telifactiva, quæ <lb/>Bernardinus Baldus Urbinas, Abbas Guaſtallæ & </s> <s xml:id="echoid-s12" xml:space="preserve">ce-<lb/>lebris Mathematicus, græce cum interpretatione, no-<lb/>tis ac figuris edidit Auguſtæ Vindelicorum in 4. </s> <s xml:id="echoid-s13" xml:space="preserve">Hoc <lb/>verò opus ex interpretatione Federici Commandini <lb/>prodiit anno eodem, quo interpres vivere deſiit, ni-<lb/>mirum 1575. </s> <s xml:id="echoid-s14" xml:space="preserve">idque poſt ejus mortem. </s> <s xml:id="echoid-s15" xml:space="preserve">Quamobrem <lb/>ſi quid in figuris vel verſione repereris, quod diligen-<lb/>tiam ac miram interpretis eruditionem non redoleat, <lb/>mortem accuſato, quæ ſemper quæque elegantiora ac <lb/>maximi facienda ingenia præripit. </s> <s xml:id="echoid-s16" xml:space="preserve">Verum omnipoten-<lb/>ti Deo gratias agito quod ejus favente numine tamdiu <lb/>ne in ipſum ſæviret, remorata eſt, ut ſuis ſcriptis, <lb/>illius invidorum dentium morſus non ſint pertime- <pb file="0006" n="6"/> ſcendi. </s> <s xml:id="echoid-s17" xml:space="preserve">De Autore ipſo ſi plura ſcire cupis, adi Lipſii <lb/>Poliorcet. </s> <s xml:id="echoid-s18" xml:space="preserve">l. </s> <s xml:id="echoid-s19" xml:space="preserve">1. </s> <s xml:id="echoid-s20" xml:space="preserve">Dial. </s> <s xml:id="echoid-s21" xml:space="preserve">6. </s> <s xml:id="echoid-s22" xml:space="preserve">G Joh. </s> <s xml:id="echoid-s23" xml:space="preserve">Voſſii Tract. </s> <s xml:id="echoid-s24" xml:space="preserve">de Mathe-<lb/>mat. </s> <s xml:id="echoid-s25" xml:space="preserve">fol. </s> <s xml:id="echoid-s26" xml:space="preserve">115. </s> <s xml:id="echoid-s27" xml:space="preserve">290. </s> <s xml:id="echoid-s28" xml:space="preserve">Athanaſii Kircheri Mundum ſub-<lb/>terraneum, tom. </s> <s xml:id="echoid-s29" xml:space="preserve">2. </s> <s xml:id="echoid-s30" xml:space="preserve">Cæterum te, Lector Benevole <lb/>rogamus, ut, ſi tui juris eſt Codex hujus operis græ-<lb/>cus, eum bono publico non invideas, noſtrisque ty-<lb/>pis haud indignum cenſeas. </s> <s xml:id="echoid-s31" xml:space="preserve">Vale.</s> <s xml:id="echoid-s32" xml:space="preserve"/> </p> <figure> <image file="0006-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0006-01"/> </figure> <pb o="1" file="0007" n="7"/> </div> <div xml:id="echoid-div5" type="section" level="1" n="5"> <head xml:id="echoid-head11" xml:space="preserve">HERONIS <lb/>ALEXANDRINI <lb/>SPIRITALIUM <lb/>LIBER.</head> <p> <s xml:id="echoid-s33" xml:space="preserve">CUm ſpiritalis tractatio maximo ſtudio digna <lb/>ab Antiquis, tum Philoſophis, tum Mecha-<lb/>nicis exiſtimata ſit, illis quidem ratione ejus <lb/>vim, ac facultatem tractantibus; </s> <s xml:id="echoid-s34" xml:space="preserve">his vero <lb/>etiam per ipſam ſenſilium actionem: </s> <s xml:id="echoid-s35" xml:space="preserve">neceſ-<lb/>ſarium fore judicavimus, quæ ab antiquis <lb/>tradita ſunt in ordinem redigere; </s> <s xml:id="echoid-s36" xml:space="preserve">& </s> <s xml:id="echoid-s37" xml:space="preserve">quæ nos ipſi inveni-<lb/>mus exponere. </s> <s xml:id="echoid-s38" xml:space="preserve">Ita enim ſiet ut qui poſthac in mathema-<lb/>ticis verſari volent, ex his maxime adjuventur. </s> <s xml:id="echoid-s39" xml:space="preserve">Præterea <lb/>cum arbitraremur conſentaneum eſſe tractationem hanc co-<lb/>hærere ei, quæ de aquaticis horoſcopiis in quatuor libris eſt <lb/>tradita, de ipſa conſcribere inſtituim us quemadmodum <lb/>dictum eſt. </s> <s xml:id="echoid-s40" xml:space="preserve">Etenim per conjunctionem aëris, ignis, aquæ, <lb/>& </s> <s xml:id="echoid-s41" xml:space="preserve">terræ: </s> <s xml:id="echoid-s42" xml:space="preserve">& </s> <s xml:id="echoid-s43" xml:space="preserve">tribus elementis, vel etiam quatuor inter ſe <lb/>congredientibus variæ diſpoſitiones eſſiciuntur; </s> <s xml:id="echoid-s44" xml:space="preserve">aliæ qui-<lb/>dem neceſſarios vitæ noſtræ uſus præbentes. </s> <s xml:id="echoid-s45" xml:space="preserve">Aliæ vero ter-<lb/>ribilem quandam admirationem moventes.</s> <s xml:id="echoid-s46" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div6" type="section" level="1" n="6"> <head xml:id="echoid-head12" xml:space="preserve">De vacuo.</head> <p> <s xml:id="echoid-s47" xml:space="preserve">Verum antequam ad ea, quæ dicenda ſunt, aggredia-<lb/>mur, de vacuo diſputandum eſt. </s> <s xml:id="echoid-s48" xml:space="preserve">alii enim univerſe nullum <lb/>omnino vacuum eſſe affirmant; </s> <s xml:id="echoid-s49" xml:space="preserve">alii coacervatum quidem na-<lb/>tura nullum eſſe vacuum, ſed ſecundum exiguas partes diſſe- <pb o="2" file="0008" n="8" rhead="HERONIS"/> minatum in aëre, & </s> <s xml:id="echoid-s50" xml:space="preserve">humido & </s> <s xml:id="echoid-s51" xml:space="preserve">igne, aliisque corporibus; <lb/></s> <s xml:id="echoid-s52" xml:space="preserve">quibus maxime aſſentiri convenit, ex iis enim, quæ appa-<lb/>rent, & </s> <s xml:id="echoid-s53" xml:space="preserve">ſub ſenſum cadunt, in ſequentibus hoc ita eſſe de-<lb/>monſtrabitur. </s> <s xml:id="echoid-s54" xml:space="preserve">Nam vaſa, quæ multis vacua videntur, non <lb/>ſunt vacua, ut putant, ſed aëre plena. </s> <s xml:id="echoid-s55" xml:space="preserve">Aër autem, ut placet <lb/>iis, qui de natura tractant, ex parvis, levibusque corporibus <lb/>conſtat, nobis plerumque non apparentibus. </s> <s xml:id="echoid-s56" xml:space="preserve">Etenim ſi in <lb/>vas quod vacuum videtur quisaquam infundat, quantum <lb/>aquæ in vas ingredietur, tantundem aëris excedet. </s> <s xml:id="echoid-s57" xml:space="preserve">Quod <lb/>autem dictum eſt, ex hoc intelligere quiſpiam poteſt. </s> <s xml:id="echoid-s58" xml:space="preserve">Nam <lb/>ſi vas, quod vacuum videtur quis inverſum in aquam de-<lb/>preſſerit, rectumque ſervarit, aqua in ipſum non ingredie-<lb/>tur, quamvis totum occultatum fuerit. </s> <s xml:id="echoid-s59" xml:space="preserve">Itaque perſpicuum <lb/>eſt, aërem, cum corpus exiſtat, non permittere aquam ingre-<lb/>di, propterea, quod totus, qui in vaſe locus eo repletus eſt. </s> <s xml:id="echoid-s60" xml:space="preserve"><lb/>Si igitur vaſis fundum quis perforet, aqua quidem per os in <lb/>ipſum ingredietur; </s> <s xml:id="echoid-s61" xml:space="preserve">aër vero per foramen exibit. </s> <s xml:id="echoid-s62" xml:space="preserve">Rurſus <lb/>antequam perforetur fundum, ſi quis rectum vas ex aqua <lb/>extulerit, convertens videbit totam interiorem ejus ſuper-<lb/>ficiem ab humido vacuam, atque puram eſſe, quemadmo-<lb/>dum erat priuſquam demergeretur. </s> <s xml:id="echoid-s63" xml:space="preserve">Quare aërem corpus <lb/>eſſe exiſtimandum eſt. </s> <s xml:id="echoid-s64" xml:space="preserve">Fit autem ſpiritus cum movetur, <lb/>nihil cnim aliud eſt ſpiritus, niſi motus aër, itaque perfora-<lb/>to vaſe ad fundum, & </s> <s xml:id="echoid-s65" xml:space="preserve">aqua ingrediente, ſi quis foramini <lb/>manum opponat, ſentiet ſpiritum ex vaſe excedentem. </s> <s xml:id="echoid-s66" xml:space="preserve"><lb/>Hoc autem non eſt aliud niſi aër ab aqua expulſus, non igi-<lb/>tur arbitrandum eſt in his, quæ ſunt, vacui naturam quan-<lb/>dam coacervatam ipſam per ſe ipſam exiſtere, ſed ſecun-<lb/>dum exiguas partes in aëre, & </s> <s xml:id="echoid-s67" xml:space="preserve">humido, aliisque corporibus <lb/>diſſeminatam, niſi fortaſſe quiſpiam credat ſolum adaman-<lb/>tem vacui natura expertem eſſe: </s> <s xml:id="echoid-s68" xml:space="preserve">quippe qui neque igni-<lb/>ri, neque rumpi poteſt: </s> <s xml:id="echoid-s69" xml:space="preserve">& </s> <s xml:id="echoid-s70" xml:space="preserve">percuſſus in incudes & </s> <s xml:id="echoid-s71" xml:space="preserve">malleos <lb/>totus ingreditur. </s> <s xml:id="echoid-s72" xml:space="preserve">Hoc autem ipſi accidit, non quod vacuo <lb/>careat, ſed ob continuatam denſitatem: </s> <s xml:id="echoid-s73" xml:space="preserve">ignis enim corpu- <pb o="3" file="0009" n="9" rhead="SPIRITAL. LIBER."/> ſcula cum craſſiora ſint, quam vacuum, quod lapidi ineſt, <lb/>nequaquam ingrediuntur, ſed exteriorem dumtaxat ſuperfi-<lb/>ciem contingunt.</s> <s xml:id="echoid-s74" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s75" xml:space="preserve">Quare cum intus non penetrent, neque etiam in eo, ut <lb/>in ceteris corporibus caliditatem inducunt. </s> <s xml:id="echoid-s76" xml:space="preserve">At aëris corpora <lb/>interſeſe quidem cohærent, non tamen ex omni parte, ſed <lb/>interjecta habent intervalla quædam vacua, ſicut arena, <lb/>quæ eſt in littoribus: </s> <s xml:id="echoid-s77" xml:space="preserve">itaque animo concipiendum eſt are-<lb/>næ particulas corporibus aëris ſimiles eſſe, aërem vero, <lb/>qui inter particulas arenæ interjicitur, ſimilem vacuis intra <lb/>aërem contentis, quamobrem vi quadam accedente aërem <lb/>denſari contingit, & </s> <s xml:id="echoid-s78" xml:space="preserve">in vacuorum loca reſidere, corpori-<lb/>bus præter naturam inter ſeſe compreſſis: </s> <s xml:id="echoid-s79" xml:space="preserve">remiſſione verò <lb/>facta rurſus in eundem ordinem reſtituitur, ob naturalem <lb/>corporum contentionem, quemadmodum & </s> <s xml:id="echoid-s80" xml:space="preserve">in cornuum <lb/>ramentis, & </s> <s xml:id="echoid-s81" xml:space="preserve">in ſpongiis ſiccis quæ ſi compreſſa remittan-<lb/>tur, rurſus in eundem locum redeunt, eandemque acci-<lb/>piunt molem: </s> <s xml:id="echoid-s82" xml:space="preserve">ſimiliter ſi aliqua vi aëris particulæ à ſe in-<lb/>vicem diſtractæ ſuerint, & </s> <s xml:id="echoid-s83" xml:space="preserve">major præter naturam locus <lb/>vacuus fiat, rurſus ad ſeſe recurrunt: </s> <s xml:id="echoid-s84" xml:space="preserve">per vacuum enim <lb/>celerem corporum lationem fieri contingit, nullo obſtan-<lb/>te, aut repellente, quouſque corpora ad ſeſe applicentur: <lb/></s> <s xml:id="echoid-s85" xml:space="preserve">ſi quis igitur vas leviſſimum, & </s> <s xml:id="echoid-s86" xml:space="preserve">anguſti oris aſſumens, at-<lb/>que ori admovens aërem exuxerit, dimiſeritque, ex la-<lb/>biis ſtatim vas appendetur, vacuo carnem attrahente, ut lo-<lb/>cus exinanatus repleatur. </s> <s xml:id="echoid-s87" xml:space="preserve">Itaque ex his perſpicuum fit lo-<lb/>cum qui in vaſe penitus vacuum fuiſſe. </s> <s xml:id="echoid-s88" xml:space="preserve">Sed & </s> <s xml:id="echoid-s89" xml:space="preserve">hoc alia ra-<lb/>tione manifeſtum eſt: </s> <s xml:id="echoid-s90" xml:space="preserve">ova enim medica quæ ex vitro con-<lb/>ftant, & </s> <s xml:id="echoid-s91" xml:space="preserve">anguſti ſunt oris, quando volunt humido re-<lb/>plere, exugentes ore aërem, qui in ipſfis continetur, oſcu-<lb/>lumque digito comprehentes in humidum invertunt, & </s> <s xml:id="echoid-s92" xml:space="preserve"><lb/>digito remiſſo in locum exinanitum attrahitur aqua, at-<lb/>que id ipſum humidum præter naturam ſurſum fertur, <lb/>& </s> <s xml:id="echoid-s93" xml:space="preserve">quod circa cucurbitulam contingit non utique alienum <pb o="4" file="0010" n="10" rhead="HERONIS"/> eſt ab iis, quæ diximus: </s> <s xml:id="echoid-s94" xml:space="preserve">ſiquidem corpori admotæ non <lb/>ſolum non excidunt manifeſtam gravitatem habentes, ſed <lb/>adjacentem materiam per corporis raritates attrahunt ean-<lb/>dem ob cauſſam: </s> <s xml:id="echoid-s95" xml:space="preserve">injectus enim ignis corrumpit, & </s> <s xml:id="echoid-s96" xml:space="preserve">exte-<lb/>nuat aërem qui in ipſis continetur, quemadmodum & </s> <s xml:id="echoid-s97" xml:space="preserve"><lb/>alia corpora ab igne corrumpuntur, & </s> <s xml:id="echoid-s98" xml:space="preserve">in tenuiores ſub-<lb/>ſtantias mutantur. </s> <s xml:id="echoid-s99" xml:space="preserve">Dico autem aërem, aquam & </s> <s xml:id="echoid-s100" xml:space="preserve">terram: <lb/></s> <s xml:id="echoid-s101" xml:space="preserve">nam corrumpi quidem manifeſtum eſt ex derelictis carboni-<lb/>bus. </s> <s xml:id="echoid-s102" xml:space="preserve">Ii enim molem ſervantes eandem quàm à principio <lb/>ante combuſtionem habuerunt, vel paulo minorem, gra-<lb/>vitate plurimum differunt. </s> <s xml:id="echoid-s103" xml:space="preserve">Quæ autem in corporibus cor-<lb/>rumpuntur per fumum in igneam ſubſtantiam, & </s> <s xml:id="echoid-s104" xml:space="preserve">aëream, <lb/>& </s> <s xml:id="echoid-s105" xml:space="preserve">terrenam tranſeunt. </s> <s xml:id="echoid-s106" xml:space="preserve">Nam quæ tenuiora ſunt in ſuperio-<lb/>rem locum feruntur, ubi eſt & </s> <s xml:id="echoid-s107" xml:space="preserve">ignis: </s> <s xml:id="echoid-s108" xml:space="preserve">quæ vero his paulo <lb/>craſſiora in aërem; </s> <s xml:id="echoid-s109" xml:space="preserve">& </s> <s xml:id="echoid-s110" xml:space="preserve">quæ adhuc craſſiora ſimul cum his <lb/>aliquantulum ſublata ob continuam lationem rurſus in in-<lb/>feriorem locum deſcendunt, ac terrenis junguntur. </s> <s xml:id="echoid-s111" xml:space="preserve">Mu-<lb/>tatur autem & </s> <s xml:id="echoid-s112" xml:space="preserve">aqua ab igne corrupta in aerem; </s> <s xml:id="echoid-s113" xml:space="preserve">vapores <lb/>enim ex ardentibus lebetibus nihil aliud ſunt, niſi humidi <lb/>extenuationes, quæ in aerem tranſeunt. </s> <s xml:id="echoid-s114" xml:space="preserve">Itaque ignem <lb/>diſſolvere omnia ſe ipſo craſſiora, & </s> <s xml:id="echoid-s115" xml:space="preserve">tranſmutare ex jam <lb/>dictis manifeſtum eſt, & </s> <s xml:id="echoid-s116" xml:space="preserve">ex his quæ à terra fiunt exhalatio-<lb/>nibus tranſmutantur craſſiora corpora in tenuiores ſubſtan-<lb/>tias: </s> <s xml:id="echoid-s117" xml:space="preserve">rores enim non aliter ſurſum ſeruntur, niſi aqua quæ <lb/>in terra eſt ab exhalatione ſuerit extenuata, ipſa autem ex-<lb/>halatio fit ab ignea quadam ſubſtantia ſolis ſub terra exiſten-<lb/>tis, & </s> <s xml:id="echoid-s118" xml:space="preserve">calefacientis locum illum, & </s> <s xml:id="echoid-s119" xml:space="preserve">magis vel ſulfureum, vel <lb/>bituminoſum, qui quidem calefactus plerunque exhala-<lb/>tionem generat, & </s> <s xml:id="echoid-s120" xml:space="preserve">aquæ calidæ, quæ in terra inveniun-<lb/>tur ex eadem cauſſa fiunt, roris autem tenuiores partes in <lb/>aërem tranſmutantur, craſſiores aliquantulum ſublatæ ob <lb/>exhalationis vim, hac refrigerata ſecundum ſolis conver-<lb/>ſionem rurſus in inferiorem locum deferuntur, at venti <lb/>oriuntur ex vehementi exhalatione aëris, tum expulſi, tum <pb o="5" file="0011" n="11" rhead="SPIRITAL. LIBER."/> attenuati: </s> <s xml:id="echoid-s121" xml:space="preserve">ſemperque eum qui deinceps eſt aërem mo-<lb/>ventis, aëris autem motio non ſecundum omnem locum <lb/>aquæ velox eſt, ſed vehementior quidem juxta exhalatio-<lb/>nem, imbecillior vero cum longe abeſt ab eo loco, in quo <lb/>movetur, quemadmodum & </s> <s xml:id="echoid-s122" xml:space="preserve">in gravibus, quæ ſurſum fe-<lb/>runtur contingit, etenim hæc velocius moventur juxta lo-<lb/>cum inferiori propinquum, in quo eſt etiam vis impellens; <lb/></s> <s xml:id="echoid-s123" xml:space="preserve">tardius vero in ſuperiori loco, vi, quæ ea impulit non ita <lb/>valide amplius proſequente, rurſus in naturalem locum <lb/>feruntur, videlicet in inferiorem, nam ſi aquæ velox vis <lb/>ipſa impuliſſet, profecto nunquam ceſſaſſet, nunc vero ea <lb/>ſenſim ceſſante, & </s> <s xml:id="echoid-s124" xml:space="preserve">tanquam conſumpta, velocitas quoque <lb/>ceſſat lationis, aqua etiam mutatur in terrenam ſubſtantiam; </s> <s xml:id="echoid-s125" xml:space="preserve"><lb/>quando enim in aliquem terrenum, & </s> <s xml:id="echoid-s126" xml:space="preserve">concavum locum <lb/>aquam infundimus, paulo poſt aqua à terrena ſubſtantia <lb/>imbibita evaneſcit, quare commiſcetur, & </s> <s xml:id="echoid-s127" xml:space="preserve">ipſa fit terra, <lb/>at ſi quis dicat ipſam ſubigi, neque imbibi à terra, ſed eva-<lb/>porare, exiccarique à ſolis vel alterius cujuſpiam calidita-<lb/>te, falſa didicere deprehendetur. </s> <s xml:id="echoid-s128" xml:space="preserve">Eadem enim aqua injecta <lb/>in aliquod vas ſive vitreum ſive æreum, ſive ex alia denſa <lb/>materia conſtans ſolique expoſita per multum tempus non <lb/>imminuitur, niſi in parva admodum ipſius particula, qua-<lb/>re & </s> <s xml:id="echoid-s129" xml:space="preserve">aqua in terrenam ſubſtantiam mutatur, limus enim & </s> <s xml:id="echoid-s130" xml:space="preserve"><lb/>coenum aquæ mutationes ſunt in terrenam ſubſtantiam: </s> <s xml:id="echoid-s131" xml:space="preserve"><lb/>mutatur etiam tenuior ſubſtantia in craſſiorem; </s> <s xml:id="echoid-s132" xml:space="preserve">quemad-<lb/>modum videmus, & </s> <s xml:id="echoid-s133" xml:space="preserve">flammam à lucernis extinctis cum <lb/>oleum deficiat, aliquantulum ſurſum ferri & </s> <s xml:id="echoid-s134" xml:space="preserve">veluti impul-<lb/>ſam in proprium locum ſecedere. </s> <s xml:id="echoid-s135" xml:space="preserve">Dico autem locum ſupre-<lb/>mum, & </s> <s xml:id="echoid-s136" xml:space="preserve">qui ſupra aërem eſt, ſuperatam vero à multo aëre <lb/>intermedio non amplius ferri in deſtinatum locum, ſed ad-<lb/>mixtam, complicatamque aëris corporibus in aërem verti, <lb/>ſimile quippiam & </s> <s xml:id="echoid-s137" xml:space="preserve">in aëre intelligere oportet, quando enim <lb/>is in aliquo vaſe non magno & </s> <s xml:id="echoid-s138" xml:space="preserve">præcluſo exiſtens ſimul cum <lb/>vaſe inaquam demittatur, deinde detecto vaſe, & </s> <s xml:id="echoid-s139" xml:space="preserve">oſculum <pb o="6" file="0012" n="12" rhead="HERONIS"/> ſurſum habente aqua ingrediatur; </s> <s xml:id="echoid-s140" xml:space="preserve">aër quidem ex vaſe exce-<lb/>dit; </s> <s xml:id="echoid-s141" xml:space="preserve">ſuperatus autem à multa aqua rurſus admiſcetur, & </s> <s xml:id="echoid-s142" xml:space="preserve"><lb/>complicatur, ita ut aqua fiat, eodem modo aëre in cucur-<lb/>bitula corrupto, attenuatoque ab igne, & </s> <s xml:id="echoid-s143" xml:space="preserve">elapſo per vaſis <lb/>raritates exinanitus intra locus attrahit circumpoſitam ma-<lb/>teriam qualiſcunque ſit, cum vero cucurbitula reſpirave-<lb/>rit, aër in evacuatum locum ſuccedit materia non amplius <lb/>attracta, dicentes igitur univerſe nihil omnino vacuum <lb/>eſſe, poſſunt ad hæc multa excogitare argumenta, & </s> <s xml:id="echoid-s144" xml:space="preserve">for-<lb/>taſſe oratione magis perſuadere, cum tamen nullam ſenſi-<lb/>bilem demonſtrationem afferant. </s> <s xml:id="echoid-s145" xml:space="preserve">At vero ſi oſtenſum fuerit <lb/>in his quæ apparent, & </s> <s xml:id="echoid-s146" xml:space="preserve">ſub ſenſum cadunt, vacuum quidem <lb/>coacervatum eſſe præter naturam factum, natura autem va-<lb/>cuum eſſe ſecundum parvas partes diſſeminatum: </s> <s xml:id="echoid-s147" xml:space="preserve">& </s> <s xml:id="echoid-s148" xml:space="preserve">corpora <lb/>ipſa per compreſſionem diſſeminata vacua replere: </s> <s xml:id="echoid-s149" xml:space="preserve">nullo <lb/>modo amplius audiendi erunt, qui probabiles de his afferunt <lb/>rationes. </s> <s xml:id="echoid-s150" xml:space="preserve">Conſtruatur enim ſphæra craſſitudinem habens la-<lb/>minæ, ut ne facile rumpatur, continens que circiter cotylas <lb/>octo, & </s> <s xml:id="echoid-s151" xml:space="preserve">undique præcluſa: </s> <s xml:id="echoid-s152" xml:space="preserve">oportet igitur ipſam perforare, <lb/>& </s> <s xml:id="echoid-s153" xml:space="preserve">ſiphonem æreum, hoc eſt tubum gracilem demittere non <lb/>contingentem locum, qui puncto perforato ſecundum dia-<lb/>metrum opponitur, ita ut aqua fluere poſſit; </s> <s xml:id="echoid-s154" xml:space="preserve">alia autem <lb/>ipſis pars extra ſphæram emineat circiter digitos tres, & </s> <s xml:id="echoid-s155" xml:space="preserve">am-<lb/>bitum foraminis, per quod ſiphon demittitur, ſtanno præ-<lb/>cludere oportet, tum ſiphonem, tum extrinſecam ſphæræ <lb/>ſuperficiem comprehendentes, ut cum volumus ore per ſi-<lb/>phonem inflare, ſpiritus ex ſphera nullo modo excidat. </s> <s xml:id="echoid-s156" xml:space="preserve">Ita-<lb/>que inſpiciamus quæ contingunt: </s> <s xml:id="echoid-s157" xml:space="preserve">aëre enim in ipſa exi-<lb/>ſtente, quemadmodum & </s> <s xml:id="echoid-s158" xml:space="preserve">in aliis vaſis quæ vacua appellan-<lb/>tur, totumque qui in ipſa locum replente: </s> <s xml:id="echoid-s159" xml:space="preserve">& </s> <s xml:id="echoid-s160" xml:space="preserve">per conti-<lb/>nuationem quandam ad ejus ambitum applicato: </s> <s xml:id="echoid-s161" xml:space="preserve">nullo de-<lb/>nique loco ut arbitrantur penitus exiſtente vacuo, neque <lb/>aquam immittere poſſemus, neque alium aërem non exce-<lb/>dente priori aëre qui in ipſa erat: </s> <s xml:id="echoid-s162" xml:space="preserve">& </s> <s xml:id="echoid-s163" xml:space="preserve">ſi multa vi immiſſio- <pb o="7" file="0013" n="13" rhead="SPIRITAL. LIBER."/> nem faciamus, prius diſrumpetur vas, quàm aliquid ſuſci-<lb/>piat cum plenum ſit: </s> <s xml:id="echoid-s164" xml:space="preserve">neque enim aëris corpora in minorem <lb/>magnitudinem contrahi poſſunt: </s> <s xml:id="echoid-s165" xml:space="preserve">quare neceſſe erit ut in ſe <lb/>ipſis habeant quædam intervalla, in quæ compreſſa mino-<lb/>rem obtineant molem: </s> <s xml:id="echoid-s166" xml:space="preserve">hoc autem veriſimile non eſt, nul-<lb/>lo penitus exiſtente vacuo, & </s> <s xml:id="echoid-s167" xml:space="preserve">cum corpora ad ſeſe applicen-<lb/>tur ſecundum omnes ſuperficies, & </s> <s xml:id="echoid-s168" xml:space="preserve">ſimiliter ad vaſis ambi-<lb/>tum, non poſſunt expulſa locum alicubi facere, non exi-<lb/>ſtente vacuo aliquo: </s> <s xml:id="echoid-s169" xml:space="preserve">quamobrem nullo modo in ſphæra <lb/>immittc<unsure/>tur aliquid eorum, quiſunt extra, niſi excedat ali-<lb/>qua pars aëris prius in ea contenti, ſiquidem totus locus <lb/>conſtipatus eſt, & </s> <s xml:id="echoid-s170" xml:space="preserve">continuatus ut arbitrantur: </s> <s xml:id="echoid-s171" xml:space="preserve">at ſi quis <lb/>ſiphonem ori admovens ſphæram inflare velit, multum <lb/>immittet ſpiritum, non excedente aëre qui in ea eſt: </s> <s xml:id="echoid-s172" xml:space="preserve">quod <lb/>cum ita ſemper contingat, manifeſto oſtenditur contractio-<lb/>nem fieri corporum in ſphæra exiſtentium in vacua impli-<lb/>cata. </s> <s xml:id="echoid-s173" xml:space="preserve">Contractio autem præter naturam fit ob immiſſionis <lb/>violentiam: </s> <s xml:id="echoid-s174" xml:space="preserve">ſi igitur aliquis inflans, & </s> <s xml:id="echoid-s175" xml:space="preserve">ad ipſum os manum <lb/>apponens ſtatim digito ſiphonem obturet, manebit omni <lb/>tempore conſtipatus aër in ſphæra: </s> <s xml:id="echoid-s176" xml:space="preserve">quod ſi quis aperiat rur-<lb/>ſus extra erumpet cum magno ſtrepitu, & </s> <s xml:id="echoid-s177" xml:space="preserve">clamore immiſſus <lb/>aër; </s> <s xml:id="echoid-s178" xml:space="preserve">propterea quod, ut propoſuimus, expellitur à dilata-<lb/>tione præexiſtentis aëris impetu quodam facta: </s> <s xml:id="echoid-s179" xml:space="preserve">rurſus ſi <lb/>quis velit aërem, qui in ſphæra eſt ore per ſiphonem attra-<lb/>here magna copia conſequetur, nulla alia ſubſtantia in <lb/>ſphæram ſuccedente, quemadmodum in ovo ante dictum <lb/>eſt: </s> <s xml:id="echoid-s180" xml:space="preserve">quare ex hoc perſpicue oſtenditur magnam vacui coa-<lb/>cervationem in ſphæra factam eſſe. </s> <s xml:id="echoid-s181" xml:space="preserve">Non enim aëris corpo-<lb/>ra, quæ relinquuntur eo tempore majora fieri poſſunt, ita <lb/>ut expulſorum corporum locum repleant: </s> <s xml:id="echoid-s182" xml:space="preserve">nam ſi augeren-<lb/>tur cum nulla ipſis ſubſtantia extrinſecus accedat, veriſimile <lb/>eſſet augumentum fieri per rarefactionem: </s> <s xml:id="echoid-s183" xml:space="preserve">hoc autem eſt <lb/>implicatio ſecundum evacuationem. </s> <s xml:id="echoid-s184" xml:space="preserve">Sed vacuum nullum <lb/>eſſe dicunt: </s> <s xml:id="echoid-s185" xml:space="preserve">non igitur augebuntur corpora: </s> <s xml:id="echoid-s186" xml:space="preserve">neque enim <pb o="8" file="0014" n="14" rhead="HERONIS"/> aliud augmentum ipſis accidere mente concipi poteſt: </s> <s xml:id="echoid-s187" xml:space="preserve">ex <lb/>quibus perſpicuum eſt in aëris corporibus diſſeminata eſſe <lb/>quædam vacua inter media, & </s> <s xml:id="echoid-s188" xml:space="preserve">vi quadam adveniente ea <lb/>præter naturam in vacua reclinare: </s> <s xml:id="echoid-s189" xml:space="preserve">aer autem qui eſt in va-<lb/>ſe inverſo in aquam, haud valde comprimitur. </s> <s xml:id="echoid-s190" xml:space="preserve">Quod enim <lb/>vim infert ad id efficiendum minime idoneum eſt, quippe <lb/>cum naturaliter aqua ipſa in ſe ipſa neque gravitatem, ne-<lb/>que vehementem compreſſionem habeat: </s> <s xml:id="echoid-s191" xml:space="preserve">quamobrem con-<lb/>tingit, ut urinantes in profundum maris infinitas metretas <lb/>ſupra humeros habentes ab aqua non cogantur reſpirare, cum <lb/>parvus omnino aër in naribus comprehendatur. </s> <s xml:id="echoid-s192" xml:space="preserve">Quæ au-<lb/>tem cauſſa ſit, cur ii, qui in profundo natant ſicuti dictum <lb/>eſt, infinitum aquæ pondus ſupra humeros habentes non <lb/>comprimuntur, conſideratione dignum videtur: </s> <s xml:id="echoid-s193" xml:space="preserve">dicunt <lb/>igitur quidam propterea quod aqua æque gravis eſt ipſa ſe-<lb/>cundum ſe ipſam; </s> <s xml:id="echoid-s194" xml:space="preserve">Hi autem nihil dicunt propter quid ii, <lb/>qui deorſum natant à ſuperiori aqua non comprimantur: <lb/></s> <s xml:id="echoid-s195" xml:space="preserve">itaque illud hoc modo demonſtrandum eſt: </s> <s xml:id="echoid-s196" xml:space="preserve">intelligamus <lb/>ſuperius humidum à ſuperficie compreſſi ſecundum quam <lb/>imponitur aqua, corpus aliquod eſſe æque grave atque hu-<lb/>midum, habensque eandem figuram, quam humidum ſu-<lb/>perius: </s> <s xml:id="echoid-s197" xml:space="preserve">hoc autem intelligamus in humidum injici, ita ut <lb/>inferior ipſius ſuperficies compreſſo congruat ſitque tan-<lb/>quam illud ipſum; </s> <s xml:id="echoid-s198" xml:space="preserve">& </s> <s xml:id="echoid-s199" xml:space="preserve">ſimiliter ac ſuperius humidum impo-<lb/>natur: </s> <s xml:id="echoid-s200" xml:space="preserve">perſpicuum igitur eſt hoc corpus dimiſſum neque ab <lb/>humido quicquam extare, neque ſub humidi ſuperioris ſu-<lb/>perficie demergi. </s> <s xml:id="echoid-s201" xml:space="preserve">ſiquidem demonſtratum eſt ab Archi-<lb/>mede in libro de iis, quæ in aqua vehuntur corpora æque-<lb/>gravia atque humidum in humidum dimiſſa neque extare <lb/>ab humido, neque demergi: </s> <s xml:id="echoid-s202" xml:space="preserve">non igitur comprimet ea quæ <lb/>ſubjiciuntur: </s> <s xml:id="echoid-s203" xml:space="preserve">ablatis autem deſuper comprimentibus cor-<lb/>pus in eodem loco permanebit: </s> <s xml:id="echoid-s204" xml:space="preserve">quomodo igitur compri-<lb/>met corpus quod non appetit in inferiorem locum deſcen-<lb/>dere? </s> <s xml:id="echoid-s205" xml:space="preserve">eodem modo & </s> <s xml:id="echoid-s206" xml:space="preserve">humidum ubi erat corpus ſubjecta <pb o="9" file="0015" n="15" rhead="SPIRITAL. LIBER."/> non comprimet; </s> <s xml:id="echoid-s207" xml:space="preserve">quatenus enim ad quietem, & </s> <s xml:id="echoid-s208" xml:space="preserve">motum <lb/>attinet, non differt dictum corpus ab humido eundem lo-<lb/>cum occupante: </s> <s xml:id="echoid-s209" xml:space="preserve">at vero vacua eſſe ex his etiam quiſpiam <lb/>percipiat. </s> <s xml:id="echoid-s210" xml:space="preserve">Vacuis enim non exiſtentibus, neque per a-<lb/>quam, neque per aërem neque per aliud corpus ullum poſ-<lb/>ſet lumen tranſire, ant caliditas aut alia potentia corporea: <lb/></s> <s xml:id="echoid-s211" xml:space="preserve">nam quomodo radii ſolares per aquam in fundum vaſis pe-<lb/>netrarent? </s> <s xml:id="echoid-s212" xml:space="preserve">ſi enim aqua non haberet poros, ſed radii aquam <lb/>vi ſcinderent, contingeret vaſa plena ſuperſundi, quod <lb/>fieri non videmus: </s> <s xml:id="echoid-s213" xml:space="preserve">ad hæc ſi aquam vi ſcinderent, nonuti-<lb/>que radiorum alii ad ſuperiorem locum frangerentur, alii <lb/>deorſum caderent: </s> <s xml:id="echoid-s214" xml:space="preserve">nunc autem quicunque aquæ particu-<lb/>lis occurrunt franguntur ad ſuperiorem locum: </s> <s xml:id="echoid-s215" xml:space="preserve">quicunque <lb/>vero incidunt in aquæ vacua paucis particulis occurrentes <lb/>in vaſis fundum pervadunt: </s> <s xml:id="echoid-s216" xml:space="preserve">præterea ex his conſtat aquæ <lb/>vacua ineſſe: </s> <s xml:id="echoid-s217" xml:space="preserve">vinum enim in aquam injectum videtur ſe-<lb/>cundum fuſionem quandam per totum aquæ locum per-<lb/>meare; </s> <s xml:id="echoid-s218" xml:space="preserve">quod non fieret niſi vacua aquæ ineſſent: </s> <s xml:id="echoid-s219" xml:space="preserve">lumen <lb/>quoque alterum per alterum fertur: </s> <s xml:id="echoid-s220" xml:space="preserve">nam cum plures lu-<lb/>cernas quis accenderit omnia magis illuſtrabuntur, iiſdem <lb/>quoquo verſus per ſe invicem penetrantibus. </s> <s xml:id="echoid-s221" xml:space="preserve">Sed & </s> <s xml:id="echoid-s222" xml:space="preserve">per æs <lb/>per ferrum, & </s> <s xml:id="echoid-s223" xml:space="preserve">per alia corpora omnia penetratio fit, quem-<lb/>admodum & </s> <s xml:id="echoid-s224" xml:space="preserve">quod in torpedine marina contingit: </s> <s xml:id="echoid-s225" xml:space="preserve">at ve-<lb/>ro coacervatum vacuum præter naturam fieri demonſtratum <lb/>eſt, & </s> <s xml:id="echoid-s226" xml:space="preserve">per vas leve ori appoſitum, & </s> <s xml:id="echoid-s227" xml:space="preserve">per medicum ovum: </s> <s xml:id="echoid-s228" xml:space="preserve"><lb/>itaque cum plures demonſtrationes ſint de vacui natura, <lb/>eas quas modo attulimus, ſatis eſſe arbitrati ſumus; </s> <s xml:id="echoid-s229" xml:space="preserve">etenim <lb/>per ipſa ſenſilia demoſtrationes factæ ſunt: </s> <s xml:id="echoid-s230" xml:space="preserve">univerſe igitur <lb/>dieere licet, omne corpus ex tenuibus conſtare corporibus, <lb/>inter quæ ſunt vacua diſſeminata particulis minora: </s> <s xml:id="echoid-s231" xml:space="preserve">quam-<lb/>obrem abuſive dicimus nihil eſle vacuum vi aliqua non <lb/>accedente, ſed omnia eſſe plena vel aëre vel humido vel <lb/>alia quapiam ſubſtantia: </s> <s xml:id="echoid-s232" xml:space="preserve">quantum autem alicujus horum <lb/>excedit, tantundem alterius conſequitur, & </s> <s xml:id="echoid-s233" xml:space="preserve">evacuatum <pb o="10" file="0016" n="16" rhead="HERONIS"/> replet locum: </s> <s xml:id="echoid-s234" xml:space="preserve">præterea vacuum quidem coacervatum na-<lb/>tura non eſſe non aecedente aliqua vi: </s> <s xml:id="echoid-s235" xml:space="preserve">& </s> <s xml:id="echoid-s236" xml:space="preserve">rurſus nunquam <lb/>eſſe penitus vacuum, ſed præter naturam factum.</s> <s xml:id="echoid-s237" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s238" xml:space="preserve">His explicatis deinceps theoremata quæ per congreſſum <lb/>dictorum elementorum perficiuntur conſcribemus: </s> <s xml:id="echoid-s239" xml:space="preserve">per ea <lb/>enim varii admodum & </s> <s xml:id="echoid-s240" xml:space="preserve">admirabiles motus in veniuntur: <lb/></s> <s xml:id="echoid-s241" xml:space="preserve">his autem prius conſideratis elementi cauſſa conſcribemus & </s> <s xml:id="echoid-s242" xml:space="preserve"><lb/>de inflexis ſiphonibus: </s> <s xml:id="echoid-s243" xml:space="preserve">hi enim ad multa ſpiritalium peru-<lb/>tiles ſunt.</s> <s xml:id="echoid-s244" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div7" type="section" level="1" n="7"> <head xml:id="echoid-head13" style="it" xml:space="preserve">De Inflexo Siphone. I.</head> <p> <s xml:id="echoid-s245" xml:space="preserve">SIt inflexus Siphon, hoc eſt tubus ABC, cujus AB <lb/>quidem crus ſit in vaſe DE pleno aqua; </s> <s xml:id="echoid-s246" xml:space="preserve">ſitque aquæ <lb/>ſuperficies ad rectam lineam, in qua FG: </s> <s xml:id="echoid-s247" xml:space="preserve">& </s> <s xml:id="echoid-s248" xml:space="preserve">inflexi <lb/>ſiphonis crus AB impleatur aqua uſque ad FG re-<lb/>ctam; </s> <s xml:id="echoid-s249" xml:space="preserve">hoc eſt pars ipſius AH, pars vero HBC ſit <lb/>aëre plena. </s> <s xml:id="echoid-s250" xml:space="preserve">Si igitur per oſculum C prædictum aërem <lb/>ore attrahamus, ſimul conſequetur & </s> <s xml:id="echoid-s251" xml:space="preserve">humidum, pro-<lb/>pterea quod, ut antedictum eſt, locus omnino vacuus eſſe non poteſt: <lb/></s> <s xml:id="echoid-s252" xml:space="preserve">& </s> <s xml:id="echoid-s253" xml:space="preserve">ſi quidem ſiphonis oſculum C ſit indirectum ipſi FG, impletus aqua <lb/>non tamen fluet ſiphon, ſed manebit plenus, ita ut ABC pars ipſius <lb/>aqua repleta ſit, quamvis ea præter naturam ſurſum feratur; </s> <s xml:id="echoid-s254" xml:space="preserve">verum in-<lb/>ſtar lancis cujuſdam æquilibrium habens aqua manebi@, ſurſum elata <lb/>ſecundum partem HB, & </s> <s xml:id="echoid-s255" xml:space="preserve">deorſum ſuſpenſa ſecundum BC. </s> <s xml:id="echoid-s256" xml:space="preserve">Quod ſi <lb/>ſiphonis oſculum exterius ſit infra rectam lineam FG, ut K, fluit aqua, <lb/>quoniam pars, quæ in KB, cum ſit gravior ea, qua in BH, pervincit <lb/>attrahitque; </s> <s xml:id="echoid-s257" xml:space="preserve">& </s> <s xml:id="echoid-s258" xml:space="preserve">uſque eo fluit, quo ad oſculum K in directum ſuperficiei <lb/>aquæ conſtituatur, & </s> <s xml:id="echoid-s259" xml:space="preserve">rurſus propter eandem cauſſam non ampſius fluet, <lb/>ſi vero oſculum exterius ſiphonis ſit infra K, ut L, fluit quouſque aquæ <lb/>ſuperficies ad oſculum A perveniat. </s> <s xml:id="echoid-s260" xml:space="preserve">Itaque ſi velimus totam, quæ eſt in <lb/>vaſe, aquam haurire, demittemus ſiphonem, ita ut oſculum A vaſis fun-<lb/>dum attingat, tantum ab eo diſtans, quantum ad aquæ fluxum ſatis eſſe <lb/>videatur. </s> <s xml:id="echoid-s261" xml:space="preserve">Hanc igitur eauſſam, quam diximus, in ſiphone quidam attu-<lb/>lerunt, dicentes majus crus, quod aquæ plus habeat attrahere minus. </s> <s xml:id="echoid-s262" xml:space="preserve">At <lb/>vero hujuſmodi cauſſam falſam eſſe, & </s> <s xml:id="echoid-s263" xml:space="preserve">eum, qui his credit, valde errare, <lb/>ſi ab humili loco aquam educere conetur, ita demonſtrabimus. </s> <s xml:id="echoid-s264" xml:space="preserve">Fiat enim <pb o="11" file="0017" n="17" rhead="SPIRITAL. LIBER."/> ſiphon habens interius crus & </s> <s xml:id="echoid-s265" xml:space="preserve">longius <lb/> <anchor type="figure" xlink:label="fig-0017-01a" xlink:href="fig-0017-01"/> & </s> <s xml:id="echoid-s266" xml:space="preserve">anguſtum; </s> <s xml:id="echoid-s267" xml:space="preserve">exterius vero latius & </s> <s xml:id="echoid-s268" xml:space="preserve"><lb/>multo minus ſecundum longitudinem, <lb/>adeo ut plus aquæ capiat, quam crus <lb/>longius: </s> <s xml:id="echoid-s269" xml:space="preserve">& </s> <s xml:id="echoid-s270" xml:space="preserve">ita aqua impleatur: </s> <s xml:id="echoid-s271" xml:space="preserve">ma-<lb/>jus autem ipſius crus immittatur in vas <lb/>aquæ, vel etiam in aliquem puteum: </s> <s xml:id="echoid-s272" xml:space="preserve">ſi <lb/>igitur exterius crus fluere permittamus, <lb/>plus aquæ habens, quam interius, ex <lb/>majori aquam attrahet, quæ quidem <lb/>etiam ſimul trahet eam, quæ eſt in <lb/>puteo: </s> <s xml:id="echoid-s273" xml:space="preserve">& </s> <s xml:id="echoid-s274" xml:space="preserve">cum fluere ceperit totam <lb/>hauriet, vel ſemper fluet, quoniam <lb/>humidum exterius plus eſt eo, quod in <lb/>crure interiori continetur. </s> <s xml:id="echoid-s275" xml:space="preserve">Atqui hoc <lb/>fieri non apparet. </s> <s xml:id="echoid-s276" xml:space="preserve">Non igitur dicta cauſ-<lb/>ſa vera eſt: </s> <s xml:id="echoid-s277" xml:space="preserve">Itaque videamus naturalem <lb/>cauſſam. </s> <s xml:id="echoid-s278" xml:space="preserve">Quoniam enim omne humi-<lb/>dum continuum, & </s> <s xml:id="echoid-s279" xml:space="preserve">quieſcens ſphæri-<lb/>cam ſuperficiem ſuſcipit, centrum ha-<lb/>bentem idem quod terra; </s> <s xml:id="echoid-s280" xml:space="preserve">non quieſcens <lb/>autem uſque eo fluit, quoad, ut dictum <lb/>eſt, in una ſuperficie ſphærica conſti-<lb/>tuatur, ſi ſumentes duo vaſa, injiciemus humidum in utrumque ipſorum, <lb/>& </s> <s xml:id="echoid-s281" xml:space="preserve">implentes ſiphonem, digitiſque ipſius oſcula comprehendentes, demit-<lb/>temus alterum crus in unum dictorum vaſorum adeo, ut aqua demergatur; <lb/></s> <s xml:id="echoid-s282" xml:space="preserve">alterum vero in alterum vas: </s> <s xml:id="echoid-s283" xml:space="preserve">fiet tota aqua continua, utrumque enim <lb/>humidorum, quæ ſunt in vaſibus conjungitur cum eo, quod eſt in ſiphone, <lb/>ita ut totum continuum fiat: </s> <s xml:id="echoid-s284" xml:space="preserve">ſi igitur ſuperficies humidorum, quæ <lb/>prius erant in vaſibus, in una ſuperficie conſiſtant, quieſcet & </s> <s xml:id="echoid-s285" xml:space="preserve">ſic utra-<lb/>que ipſarum demerſo fiphone; </s> <s xml:id="echoid-s286" xml:space="preserve">ſin minns@ quoniam aqua continua facta <lb/>eſt, neceſſario ob continuitatem in humiliorem locum fluet, quouſque <lb/>vel omnis aqua quæ in vaſibus, in una ſuperficie ſit, vel alterum vaſorum <lb/>exinaniatur. </s> <s xml:id="echoid-s287" xml:space="preserve">Fiant igitur in una ſuperficie humida, quæ ſunt in vaſibus: </s> <s xml:id="echoid-s288" xml:space="preserve"><lb/>quieſcent utique, ita ut etiam humidum, quod eſt in ſiphone, ſimul <lb/>quieſcat. </s> <s xml:id="echoid-s289" xml:space="preserve">Quod ſi quis mente concipiat ſiphonem diſſectum juxta ſuper-<lb/>ficies humidorum, quæ ſunt in vaſibus; </s> <s xml:id="echoid-s290" xml:space="preserve">& </s> <s xml:id="echoid-s291" xml:space="preserve">ita quieſcet humidum, quod <lb/>eſt in ſiphone: </s> <s xml:id="echoid-s292" xml:space="preserve">ergo & </s> <s xml:id="echoid-s293" xml:space="preserve">ſiphone ipſo ſuſpenſo, & </s> <s xml:id="echoid-s294" xml:space="preserve">in neutram partem <lb/>inclinato, rurſus quieſcet humidum, five æqualem omnino habens latitu- <pb o="12" file="0018" n="18" rhead="HERONIS"/> dinem, five alterum crus altero multo majus ſit: </s> <s xml:id="echoid-s295" xml:space="preserve">non enim in hoc cauſſa <lb/>eſt, cur humidum quieſcat, ſed in eo, quod ipſius oſcula æqualiter ja-<lb/>ceant. </s> <s xml:id="echoid-s296" xml:space="preserve">Quo modo igitur eo ſuſpenſo humidum non defluit ob propriam <lb/>gravitatem, cum ſubjectum aërem leviorem habeat? </s> <s xml:id="echoid-s297" xml:space="preserve">quoniam locus <lb/>omnino vacuus eſſe non poteſt: </s> <s xml:id="echoid-s298" xml:space="preserve">ſi enim debet humidum defluere, prius <lb/>impleri oportet ſuperiorem locum ſiphonis, in quem aër ingredi nequit. <lb/></s> <s xml:id="echoid-s299" xml:space="preserve">Quod ſi quis ſuperiorem ſiphonis locum perforet ſtatim effluet humidum, <lb/>aëre ſuccedente: </s> <s xml:id="echoid-s300" xml:space="preserve">ſed antequam perforetur, humidum, quod eſt in ſi-<lb/>phone ſubjecto aëri inſidens ipſum propulſat, is autem non habens, quo <lb/>ſecedat progredi humidum non ſinit: </s> <s xml:id="echoid-s301" xml:space="preserve">verum cum per foramen locum <lb/>obtinuit, quo ſecedat aër, tum aquæ gravitatem non ſerens ſecedit. </s> <s xml:id="echoid-s302" xml:space="preserve">Hanc <lb/>eandem ob cauſſam & </s> <s xml:id="echoid-s303" xml:space="preserve">vinum ſiphone ſurſum ore præter naturam attrahi-<lb/>mus: </s> <s xml:id="echoid-s304" xml:space="preserve">excipientes enim aërem, qui eſt in ſiphone, pleniores, quam antea <lb/>efficimur & </s> <s xml:id="echoid-s305" xml:space="preserve">evellimus conjunctum ipſi aërem: </s> <s xml:id="echoid-s306" xml:space="preserve">hic vero eum qui à princi-<lb/>pio, quouſque ad vini ſuperficiem vacuatio fiat, & </s> <s xml:id="echoid-s307" xml:space="preserve">tunc vinum evulſum <lb/>ſecedit in locum exinanitum ſiphonis: </s> <s xml:id="echoid-s308" xml:space="preserve">alius enim locus non eſt, in quem <lb/>ſecedat; </s> <s xml:id="echoid-s309" xml:space="preserve">ob hanc cauſſam & </s> <s xml:id="echoid-s310" xml:space="preserve">ſurſum præter naturam fertur: </s> <s xml:id="echoid-s311" xml:space="preserve">alioqui quie-<lb/>ſcet humidum in ſiphone, quando in una ſuperficie ſphærica conſtituatur, <lb/>cujus centrum eſt idem, quod terræ centrum: </s> <s xml:id="echoid-s312" xml:space="preserve">quoniam ſi humidi alicujus <lb/>ſuperficies ſphærica ſit, centrum habens idem, quod terra, quieſcit: </s> <s xml:id="echoid-s313" xml:space="preserve">ſi <lb/>enim fieri poteſt, non quieſcat, ergo ipſa mota quieſcet: </s> <s xml:id="echoid-s314" xml:space="preserve">quieſcat igitur: </s> <s xml:id="echoid-s315" xml:space="preserve"><lb/>erit ſphærica ſuperficies centrum <lb/> <anchor type="figure" xlink:label="fig-0018-01a" xlink:href="fig-0018-01"/> idem, quod terra, habens, & </s> <s xml:id="echoid-s316" xml:space="preserve">prio-<lb/>rem ſuperficiem ſecabit: </s> <s xml:id="echoid-s317" xml:space="preserve">idem nam-<lb/>que humidum ab aliquo communi <lb/>alium atque alium occupavit lo-<lb/>cum: </s> <s xml:id="echoid-s318" xml:space="preserve">utræque igitur ſuperficies per <lb/>terræ centrum plano aliquo ſecen-<lb/>tur, & </s> <s xml:id="echoid-s319" xml:space="preserve">faciant lineas in ſuperficie-<lb/>bus, circulorum circumferentias, <lb/>quæ idem centrum habeant, quod <lb/>terra, videlicet A B C, F B D; </s> <s xml:id="echoid-s320" xml:space="preserve">du-<lb/>caturque BG: </s> <s xml:id="echoid-s321" xml:space="preserve">quare BG æqualis <lb/>eſt utrique ipſarum G F, G A: <lb/></s> <s xml:id="echoid-s322" xml:space="preserve">quod eſt abſurdum: </s> <s xml:id="echoid-s323" xml:space="preserve">ergo quieſcat <lb/>neceſſe eſt.</s> <s xml:id="echoid-s324" xml:space="preserve"/> </p> <div xml:id="echoid-div7" type="float" level="2" n="1"> <figure xlink:label="fig-0017-01" xlink:href="fig-0017-01a"> <image file="0017-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0017-01"/> </figure> <figure xlink:label="fig-0018-01" xlink:href="fig-0018-01a"> <image file="0018-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0018-01"/> </figure> </div> <pb o="13" file="0019" n="19" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div9" type="section" level="1" n="8"> <head xml:id="echoid-head14" style="it" xml:space="preserve">De Medio ſpiritali Diabete. II.</head> <p> <s xml:id="echoid-s325" xml:space="preserve">Eſt autem & </s> <s xml:id="echoid-s326" xml:space="preserve">alius, qui vocatur medius ſpiritalis diabetes <lb/>eandem actionem habens, quam inflexus ſiphon.</s> <s xml:id="echoid-s327" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s328" xml:space="preserve">Sit enim vas ſimiliter aqua plenum A B: </s> <s xml:id="echoid-s329" xml:space="preserve">& </s> <s xml:id="echoid-s330" xml:space="preserve">per ejus fundum trajiciatur <lb/>tubus C D coarctatus ipſi fundo, & </s> <s xml:id="echoid-s331" xml:space="preserve">in partem inferiorem excedens, oſcu-<lb/>lum autem ejus C non communicet cum ore vaſis A B, ſed alter tubus E F <lb/>ipſum circumſideat, ab eo undique æqualiter diſtans: </s> <s xml:id="echoid-s332" xml:space="preserve">& </s> <s xml:id="echoid-s333" xml:space="preserve">oſculum qui-<lb/>dem ſuperius, ſquammula E G, ab oſculo C parum diſtante cooperiatur: <lb/></s> <s xml:id="echoid-s334" xml:space="preserve">oſculum vero inferins tubi E F tantum diſtet à fundo vaſis A B, quantum <lb/>ad aquæ fluxum ſufficiat. </s> <s xml:id="echoid-s335" xml:space="preserve">His ita diſpoſitis ſi per oſculum D ſimiliter attra-<lb/>hamus aerem, qui eſt in C D ſiphone, ſimul & </s> <s xml:id="echoid-s336" xml:space="preserve">aquam, quæ eſt in vaſe AB <lb/>attrahemus, ita ut effluat, & </s> <s xml:id="echoid-s337" xml:space="preserve">tunc tota fluet, quæ in AB vaſa aqua ob ex-<lb/>ceſſum ſiphonis extra, aër enim, qui interjicitur inter humidum & </s> <s xml:id="echoid-s338" xml:space="preserve">tubum <lb/>E F, cum modicus ſit, poteſt ſe-<lb/> <anchor type="figure" xlink:label="fig-0019-01a" xlink:href="fig-0019-01"/> cedere in tubum C D, & </s> <s xml:id="echoid-s339" xml:space="preserve">ſimul a-<lb/>quam attrahere, non conſiſtet au-<lb/>tem fluxus ob exceſſum extra, ete-<lb/>nim non exiſtente E F ceſſabit flue-<lb/>re, cum ſuperficies humidi ad C <lb/>fiat manente exceſſu: </s> <s xml:id="echoid-s340" xml:space="preserve">ſed propter-<lb/>ea quod non poteſt aër ſubingredi <lb/>toto E F in aqua demerſo, fluxus <lb/>non conſiſtet & </s> <s xml:id="echoid-s341" xml:space="preserve">qui ingreſſus eſt <lb/>aër in vas AB exeunti aquæ ſucce-<lb/>det: </s> <s xml:id="echoid-s342" xml:space="preserve">totum enim exterius tubi of-<lb/>culum ad aquam ſemper humilius <lb/>eſt ſuperficie aquæ, quæ in vaſe: <lb/></s> <s xml:id="echoid-s343" xml:space="preserve">cum autem non poſſit una fieri ſu-<lb/>perficies, totam excernit aquam, <lb/>& </s> <s xml:id="echoid-s344" xml:space="preserve">majori gravitate fit attractio. </s> <s xml:id="echoid-s345" xml:space="preserve"><lb/>Quod ſi non velimus aërem, qui <lb/>in tubo C D continetur, ore attra-<lb/>here, infundemus aquam in vas <lb/>A B quouſque ſuperinfufa per tu-<lb/>bum C D principium fluxus acci-<lb/>piat, & </s> <s xml:id="echoid-s346" xml:space="preserve">ita rurſus tota, quæ eſt in <lb/>A B vaſe, aqua exhaurietur, vocatur autem ut dictum eſt, C D E F ſpi-<lb/>ritalis ſiphon, vel ſpiritalis diabetes.</s> <s xml:id="echoid-s347" xml:space="preserve"/> </p> <div xml:id="echoid-div9" type="float" level="2" n="1"> <figure xlink:label="fig-0019-01" xlink:href="fig-0019-01a"> <image file="0019-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0019-01"/> </figure> </div> <pb o="14" file="0020" n="20" rhead="HERONIS"/> <p> <s xml:id="echoid-s348" xml:space="preserve">Ex jam demonſtratis perſpicuum eſt ſiphonis fluxum, eo <lb/>immobili permanente inæqualem fieri, idem enim contin-<lb/>git & </s> <s xml:id="echoid-s349" xml:space="preserve">vaſe ad fundum perforato, & </s> <s xml:id="echoid-s350" xml:space="preserve">fluente: </s> <s xml:id="echoid-s351" xml:space="preserve">namque & </s> <s xml:id="echoid-s352" xml:space="preserve">hic <lb/>fluxus inæqualis eſt, propterea quod in principio quidem <lb/>aquæ effuſio majori gravitate premitur, poſt vero ea evacuata <lb/>minori: </s> <s xml:id="echoid-s353" xml:space="preserve">& </s> <s xml:id="echoid-s354" xml:space="preserve">quo ſiphonis exceſſus major eſt, eo celerior fluxus <lb/>efficitur: </s> <s xml:id="echoid-s355" xml:space="preserve">rurſus enim fluxus, qui fit per oſculum ipſius, ma-<lb/>jori gravitate urgetur, quàm cum minor ſit exterior exceſſus, <lb/>quo videlicet ſuperficies aquæ in vaſe exiſtentis exterius ſi-<lb/>phonis oſculum excedit: </s> <s xml:id="echoid-s356" xml:space="preserve">fluxus igitur per ſiphonem ſemper <lb/>inæqualis jam dictus eſt: </s> <s xml:id="echoid-s357" xml:space="preserve">oportet autem fluxum ſemper æ-<lb/>qualem per ſiphonem invenire.</s> <s xml:id="echoid-s358" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div11" type="section" level="1" n="9"> <head xml:id="echoid-head15" style="it" xml:space="preserve">De fluxu ſemper æquali per ſiphonem inflexum. III.</head> <p> <s xml:id="echoid-s359" xml:space="preserve">Sit aliquod A B vas aqua plenum in quo ſupernater C D lebetarium, <lb/>habens os obtectum operculo C D, per operculum vero, & </s> <s xml:id="echoid-s360" xml:space="preserve">fundum lebe-<lb/>tarii trajiciatur ſiphonis alterum crus, & </s> <s xml:id="echoid-s361" xml:space="preserve">ſtanno ad foramina coarctetur: <lb/></s> <s xml:id="echoid-s362" xml:space="preserve">alterum autem crus ſit extra vas A B: </s> <s xml:id="echoid-s363" xml:space="preserve">habeatque oſculum humilius, quam <lb/>ſit aquæ in vaſe exiſtentis ſuperficies. </s> <s xml:id="echoid-s364" xml:space="preserve">Si igitur per ſiphonis oſculum <lb/>exterius aërem, qui eſt in ſiphone attrahemus, ſimul conſequetur <lb/>& </s> <s xml:id="echoid-s365" xml:space="preserve">humidum; </s> <s xml:id="echoid-s366" xml:space="preserve">quod non poſſit <lb/> <anchor type="figure" xlink:label="fig-0020-01a" xlink:href="fig-0020-01"/> in ſiphone locus omnino vacuus <lb/>eſſe: </s> <s xml:id="echoid-s367" xml:space="preserve">& </s> <s xml:id="echoid-s368" xml:space="preserve">cum principium fluxus <lb/>acceperit ſiphon, eo uſque fluet, <lb/>quoad totam, quæ in vafe con-<lb/>tinetur, aquam exhauſerit: </s> <s xml:id="echoid-s369" xml:space="preserve">eſt <lb/>autem is fluxus æqualis, præte-<lb/>rea quod exceſſus ſiphonis ex-<lb/>tra, quo in partem inferiorem <lb/>excedit ſuperficiem aquæ ſemper <lb/>idem manet; </s> <s xml:id="echoid-s370" xml:space="preserve">quoniam in vaſis <lb/>exinanitione ſimul & </s> <s xml:id="echoid-s371" xml:space="preserve">lebes cum <lb/>ſiphone deſcendit: </s> <s xml:id="echoid-s372" xml:space="preserve">quo autem <lb/>exceſſus extra major ſit, eo ve-<lb/>locior erit fluxus, quamquam <lb/>per ſeipſum æqualis. </s> <s xml:id="echoid-s373" xml:space="preserve">Sit dictus <lb/>ſiphon E F G, aquæ autem <lb/>ſuperficies ad rectam lineam <lb/>H K.</s> <s xml:id="echoid-s374" xml:space="preserve"/> </p> <div xml:id="echoid-div11" type="float" level="2" n="1"> <figure xlink:label="fig-0020-01" xlink:href="fig-0020-01a"> <image file="0020-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0020-01"/> </figure> </div> <pb o="15" file="0021" n="21" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div13" type="section" level="1" n="10"> <head xml:id="echoid-head16" style="it" xml:space="preserve">De fluxu partim æquali partim inæqualiper ſiphonem. IV.</head> <p> <s xml:id="echoid-s375" xml:space="preserve">At ſluxus partim quidem æqualis, partim vero inæqualis <lb/>fit per ſiphonem: </s> <s xml:id="echoid-s376" xml:space="preserve">voco autem partim æqualem, & </s> <s xml:id="echoid-s377" xml:space="preserve">partim <lb/>inæqualem, quando per aliquod tempus volentibus nobis <lb/>æqualis ſit factus à principio fluxus, & </s> <s xml:id="echoid-s378" xml:space="preserve">rurſus per aliud tem-<lb/>pus ſi ita nobis placeat, æqualis ſit per ſe ipſum, priori vero <lb/>vel tardior, vel velocior.</s> <s xml:id="echoid-s379" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s380" xml:space="preserve">Sit enim rurſus aquæ vas <lb/> <anchor type="figure" xlink:label="fig-0021-01a" xlink:href="fig-0021-01"/> A B, lebes C D, per oper-<lb/>culum vero, & </s> <s xml:id="echoid-s381" xml:space="preserve">fundum le-<lb/>betis trajiciatur canalis la-<lb/>tior, quam crus interius ſi-<lb/>phonis: </s> <s xml:id="echoid-s382" xml:space="preserve">& </s> <s xml:id="echoid-s383" xml:space="preserve">ſit hic canalis <lb/>M L, coarctatus & </s> <s xml:id="echoid-s384" xml:space="preserve">opercu-<lb/>lo, & </s> <s xml:id="echoid-s385" xml:space="preserve">fundo lebetis: </s> <s xml:id="echoid-s386" xml:space="preserve">oper-<lb/>culo autem inſiſtat pegma-<lb/>tium ex regulis compactum, <lb/>quemadmodum littera ◠, <lb/>& </s> <s xml:id="echoid-s387" xml:space="preserve">ſit CNXD. </s> <s xml:id="echoid-s388" xml:space="preserve">In regulis <lb/>autem rectis C N, X D ex <lb/>interiori parte ſecundum <lb/>earum longitudinem inſcul-<lb/>pantur canales, in quibus <lb/>altera regula O P expedite <lb/>percurrat: </s> <s xml:id="echoid-s389" xml:space="preserve">ſit etiam co-<lb/>chlea R S recta pertingens <lb/>ad operculum C D, & </s> <s xml:id="echoid-s390" xml:space="preserve">per <lb/>foramen, quod eſt in regula O P tranſiens: </s> <s xml:id="echoid-s391" xml:space="preserve">ſit præterea tylus aliquis regula <lb/>O P conjunctus, ita ut inſeratur in helicem cochleæ, excedat autem co-<lb/>chlea ſupra regulam N X, & </s> <s xml:id="echoid-s392" xml:space="preserve">exceſſui adnectatur anſa, per quam cochleam <lb/>convertamus, ita ut regula O P interdum quidem ſublimis fiat, interdum <lb/>vero depreſſa: </s> <s xml:id="echoid-s393" xml:space="preserve">cui regulæ conjunctum ſit crus interius ſiphonis, permeans <lb/>etiam per canalem L M, adeo ut oſculum ipſius aqua, quæ in vaſe demer-<lb/>gatur. </s> <s xml:id="echoid-s394" xml:space="preserve">Si igitur rurſus per oſculum exterius humidum attrahamus, fluet <lb/>ſiphon æqualiter, quouſque totum, quod eſt in vaſe, humidum exhauria-<lb/>@ur. </s> <s xml:id="echoid-s395" xml:space="preserve">Quando autem volumus per ipſum alterum fieri fluxum, prædicto <pb o="16" file="0022" n="22" rhead="HERONIS"/> velociorem, ſed tamen æqualem per ſeſe, convertimus cochleam, ita ut <lb/>regula O P depreſſior fiat: </s> <s xml:id="echoid-s396" xml:space="preserve">erit enim exceſſus ſiphonis extra major priori, <lb/>ideoque fluxus æqualis quidem per ſeipſum, ſed priori velocior. </s> <s xml:id="echoid-s397" xml:space="preserve">Quod ſi <lb/>adhuc velociorem eſſe fluxum velimus, convertemus cochleam ut regu-<lb/>la O P etiam magis deprimatur: </s> <s xml:id="echoid-s398" xml:space="preserve">ſi vero tardiorem eadem regula OP in <lb/>ſublime attollatur: </s> <s xml:id="echoid-s399" xml:space="preserve">atque ita erit per ſiphonem fluxus partim quidem <lb/>æqualis, partim vero inæqualis: </s> <s xml:id="echoid-s400" xml:space="preserve">ut autem per os noſtrum aquam non <lb/>attrahamus, neque enim hoc in omnibus ſiphonibus fieri poteſt, præter-<lb/>quam in valde parvis, ita faciemus.</s> <s xml:id="echoid-s401" xml:space="preserve"/> </p> <div xml:id="echoid-div13" type="float" level="2" n="1"> <figure xlink:label="fig-0021-01" xlink:href="fig-0021-01a"> <image file="0021-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0021-01"/> </figure> </div> </div> <div xml:id="echoid-div15" type="section" level="1" n="11"> <head xml:id="echoid-head17" xml:space="preserve">V.</head> <p> <s xml:id="echoid-s402" xml:space="preserve">Sit ſmeriſmation aliquod, cujus maſculum quidem apponatur extrin-<lb/>ſeco ſiphonis cruri, ita ut per ipſum fluat, ſitque T Y, fœmina vero <lb/> <anchor type="figure" xlink:label="fig-0022-01a" xlink:href="fig-0022-01"/> <pb o="17" file="0023" n="23" rhead="SPIRITAL. LIBER."/> TYV prius agglutinata vaſi L Z quod paulo plus aquæ, quam ſiphon <lb/>capiat: </s> <s xml:id="echoid-s403" xml:space="preserve">habeat autem ad fundum effluxionem Ω. </s> <s xml:id="echoid-s404" xml:space="preserve">Quando igitur volumus <lb/>per ſiphonem educere aquam, quæ eſt in vaſe A B, effluxionem vaſis <lb/>L Z digito comprehendentes, ipſum aqua implebimus: </s> <s xml:id="echoid-s405" xml:space="preserve">poſtea ſœmi-<lb/>neum ſmeriſma maſculo aptantes, effluxionem Ω dimittemus: </s> <s xml:id="echoid-s406" xml:space="preserve">evacua-<lb/>to autem L Z vaſe, aër in ſiphone exiſtens in evacuatum locum proce-<lb/>det, quem conſequetur humidum quod in vaſe A B, ita ut ſiphon im-<lb/>pleatur: </s> <s xml:id="echoid-s407" xml:space="preserve">deinde auferentes vas L Z ſiphonem fluere ſinemus: </s> <s xml:id="echoid-s408" xml:space="preserve">oportet <lb/>autem ſiphonem recte deſcendere, ſi officium ſuum præſtare debeat; </s> <s xml:id="echoid-s409" xml:space="preserve">il-<lb/>lud autem erit, quando ad vaſis A B labrum duas regulas rectas compin-<lb/>gemus, atque inter ipſas intrinſecum ſiphonis crus conſtituemus, ita ut <lb/>utraſque contingat: </s> <s xml:id="echoid-s410" xml:space="preserve">ad idem vero ſiphonis crus intrinſecum utrinque <lb/>claviculam affigemus regulas contingentem in parte interiori: </s> <s xml:id="echoid-s411" xml:space="preserve">ita enim <lb/>neque obliquum, neque in anteriorem partem declinabit, recto enim, <lb/>& </s> <s xml:id="echoid-s412" xml:space="preserve">exquiſite deſcendet claviculis regulas atterentibus.</s> <s xml:id="echoid-s413" xml:space="preserve"/> </p> <div xml:id="echoid-div15" type="float" level="2" n="1"> <figure xlink:label="fig-0022-01" xlink:href="fig-0022-01a"> <image file="0022-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0022-01"/> </figure> </div> </div> <div xml:id="echoid-div17" type="section" level="1" n="12"> <head xml:id="echoid-head18" xml:space="preserve">VI.</head> <p> <s xml:id="echoid-s414" xml:space="preserve">Eorum vero, quæ ad opus conſtruuntur, nunc incipiamus <lb/>conſtructiones explicare, à minoribus, tamquam ab ele-<lb/>mentis initium facientes.</s> <s xml:id="echoid-s415" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div18" type="section" level="1" n="13"> <head xml:id="echoid-head19" style="it" xml:space="preserve">De Sphærula conca@a ex ære. VI.</head> <p> <s xml:id="echoid-s416" xml:space="preserve">Eſt enim quædam parva ſtructura ad effundendum vi-<lb/>num utilis.</s> <s xml:id="echoid-s417" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s418" xml:space="preserve">Nam conſtruitur ſphærula concava <lb/> <anchor type="figure" xlink:label="fig-0023-01a" xlink:href="fig-0023-01"/> ex ære, qualis eſt AB ex inferiori qui-<lb/>dem parte minutis, & </s> <s xml:id="echoid-s419" xml:space="preserve">denſis forami-<lb/>nibus perforata; </s> <s xml:id="echoid-s420" xml:space="preserve">veluti cribrum, ex <lb/>ſu<unsure/>periori vero tubum habens C D ſi-<lb/>mul cum ipſa perforatum & </s> <s xml:id="echoid-s421" xml:space="preserve">coarcta-<lb/>tum, cujus oſculum ſuperius apertum <lb/>ſi<unsure/>t. </s> <s xml:id="echoid-s422" xml:space="preserve">Quando igitur quis velit vinum <lb/>effundere comprehendens altera ma-<lb/>nu tubum C D ad C oſculum demit-<lb/>tat ſphærulam in vinum quouſque tota <lb/>occultetur: </s> <s xml:id="echoid-s423" xml:space="preserve">& </s> <s xml:id="echoid-s424" xml:space="preserve">vinum quidem per fora-<lb/>mina ingreditur, aer autem, quiintus <lb/>eſt, extruditur, & </s> <s xml:id="echoid-s425" xml:space="preserve">per tubum C D <lb/>excedit. </s> <s xml:id="echoid-s426" xml:space="preserve">Quod ſi quis pollice tubi oſcu- <pb o="18" file="0024" n="24" rhead="HERONIS"/> lum C obſtruens ſphærulam è-vino ex-<lb/> <anchor type="figure" xlink:label="fig-0024-01a" xlink:href="fig-0024-01"/> trahat, non fluet vinum, quod eſt in <lb/>ſphærula, propterea quod aër in locum <lb/>vacuum ingredi non poteſt: </s> <s xml:id="echoid-s427" xml:space="preserve">aditus <lb/>enim eſt per oſculum C; </s> <s xml:id="echoid-s428" xml:space="preserve">qui quidem di-<lb/>gito obſtruitur. </s> <s xml:id="echoid-s429" xml:space="preserve">Cum igitur velimus vi-<lb/>num effundi, digitum remittimus: </s> <s xml:id="echoid-s430" xml:space="preserve">& </s> <s xml:id="echoid-s431" xml:space="preserve"><lb/>aër ſuccedens vacuatum replet locum. <lb/></s> <s xml:id="echoid-s432" xml:space="preserve">Si autem rurſus ſpiraculum C digito <lb/>prememus, ſiſtetur vini fluxus, quo-<lb/>uſque rurſus digito ſpiraculum remitte-<lb/>mus: </s> <s xml:id="echoid-s433" xml:space="preserve">licet etiam in aquam calidam, vel <lb/>frigidam immergendo rurſus continere, <lb/>poſtea emittere quantum velimus, quoad <lb/>totum, quod eſt in ſphærula humidum <lb/>datur: </s> <s xml:id="echoid-s434" xml:space="preserve">& </s> <s xml:id="echoid-s435" xml:space="preserve">ſi inflexa fiat extremitas <lb/>tubi C D, quo ſcilicet eſt ad C nihil differt, immo vero etiam ad uſum <lb/>accommodatior erit, quippe quod oſculum facilius digito comprehenda <lb/>mus.</s> <s xml:id="echoid-s436" xml:space="preserve"/> </p> <div xml:id="echoid-div18" type="float" level="2" n="1"> <figure xlink:label="fig-0023-01" xlink:href="fig-0023-01a"> <image file="0023-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0023-01"/> </figure> <figure xlink:label="fig-0024-01" xlink:href="fig-0024-01a"> <image file="0024-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0024-01"/> </figure> </div> </div> <div xml:id="echoid-div20" type="section" level="1" n="14"> <head xml:id="echoid-head20" xml:space="preserve">VII.</head> <p> <s xml:id="echoid-s437" xml:space="preserve">Eodem modo ex eadem ſphærula, & </s> <s xml:id="echoid-s438" xml:space="preserve">frigida, & </s> <s xml:id="echoid-s439" xml:space="preserve">calida <lb/>aqua emitti poteſt, quando velimus.</s> <s xml:id="echoid-s440" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s441" xml:space="preserve">Conſtruitur enim ſimiliter ſphærula A B diaphragma habens medium, <lb/>ac rectum C D: </s> <s xml:id="echoid-s442" xml:space="preserve">& </s> <s xml:id="echoid-s443" xml:space="preserve">in parte ſuperiori ſimiliter tubum E F una cum ſphæ-<lb/>rula perforatum, & </s> <s xml:id="echoid-s444" xml:space="preserve">coarctatum, in quo ſit diaphragma medium C G, <lb/>continuatum ipſi C D diaphragmati: </s> <s xml:id="echoid-s445" xml:space="preserve">deſuper autem reflexiones H K <lb/>pertinentes ad utramque partem locorum, quæ in E F, & </s> <s xml:id="echoid-s446" xml:space="preserve">ex utraque <lb/>parte diaphragmatis C D in fundo ſphærulæ ad D, ſint foramina ſimiliæ <lb/>i@s, quæ in trullis coquinariis inſtar cribri. </s> <s xml:id="echoid-s447" xml:space="preserve">Quando igitur volumus cali-<lb/>dam aquam haurire, comprehendentes duobus digitis oſcula H K, ſphæ- <pb o="19" file="0025" n="25" rhead="SPIRITAL. LIBER."/> rulam in aquam immergemus, <lb/>remittemuſque alterum ſpiracu-<lb/> <anchor type="figure" xlink:label="fig-0025-01a" xlink:href="fig-0025-01"/> lorum, videlicet H, ut aër qui <lb/>eſt in hemiſphærio B C D per <lb/>ſpiraculum H extrudatur, calida <lb/>vero per cribrum ingreſſa hemi-<lb/>ſphærium B C D repleat. </s> <s xml:id="echoid-s448" xml:space="preserve">Rur-<lb/>ſus comprehendentes ſpiraculum <lb/>H educemus ex calida ſphæru-<lb/>lam, quam utique continebit, <lb/>propterea quod aër aditum non <lb/>habeat. </s> <s xml:id="echoid-s449" xml:space="preserve">Immergentes igitur ſi-<lb/>militer in frigidam remittemus <lb/>ſpiraculum K, & </s> <s xml:id="echoid-s450" xml:space="preserve">rurſus repleto <lb/>A C D hemiſphærio, compre-<lb/>hendentes ipſum K educemus <lb/>ſphærulam plenam aqua calida, & </s> <s xml:id="echoid-s451" xml:space="preserve">frigida. </s> <s xml:id="echoid-s452" xml:space="preserve">Itaque cum volumus alterum <lb/>eorum effluere, remittemus ſpiraculum, quod eſt ſecundum ipſum: </s> <s xml:id="echoid-s453" xml:space="preserve">& </s> <s xml:id="echoid-s454" xml:space="preserve"><lb/>cum non amplius effluere volumus, rurſus ſimiliter comprehendemus, <lb/>& </s> <s xml:id="echoid-s455" xml:space="preserve">hoc eouſque faciemus, quo ad totum effundatur: </s> <s xml:id="echoid-s456" xml:space="preserve">licet etiam ſimiliter <lb/>ex eadem ſphærula & </s> <s xml:id="echoid-s457" xml:space="preserve">vinum & </s> <s xml:id="echoid-s458" xml:space="preserve">aquam calidam, & </s> <s xml:id="echoid-s459" xml:space="preserve">frigidam, & </s> <s xml:id="echoid-s460" xml:space="preserve">aliud <lb/>quodcumque voluerimus & </s> <s xml:id="echoid-s461" xml:space="preserve">haurire, & </s> <s xml:id="echoid-s462" xml:space="preserve">emittere quantum, & </s> <s xml:id="echoid-s463" xml:space="preserve">quando <lb/>volumus, ſi plura fiant diaphragmata, & </s> <s xml:id="echoid-s464" xml:space="preserve">foramina, per quæ in quem-<lb/>cumque locum ingrediatur aër, & </s> <s xml:id="echoid-s465" xml:space="preserve">rurſus expellatur: </s> <s xml:id="echoid-s466" xml:space="preserve">poſſunt autem pro <lb/>inflexis oſculis eſſe foramina circa tub latus in parte ſuperiori ad locos <lb/>pertinentia, quæ comprehendimus digitis quando præcludere volumus: <lb/></s> <s xml:id="echoid-s467" xml:space="preserve">ſed ne foramina appareant cooperiemus ipſa canaliculo, ita ut ab eodem <lb/>tubo utraque defluere videantur.</s> <s xml:id="echoid-s468" xml:space="preserve"/> </p> <div xml:id="echoid-div20" type="float" level="2" n="1"> <figure xlink:label="fig-0025-01" xlink:href="fig-0025-01a"> <image file="0025-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0025-01"/> </figure> </div> </div> <div xml:id="echoid-div22" type="section" level="1" n="15"> <head xml:id="echoid-head21" style="it" xml:space="preserve">De Prochyta. VIII.</head> <p> <s xml:id="echoid-s469" xml:space="preserve">Conſtruitur etiam prochyta plus minusve humidi ſuſci-<lb/>piens, & </s> <s xml:id="echoid-s470" xml:space="preserve">emittens, aliquando quidem plus, aliquando vero <lb/>minus, ita ut vino & </s> <s xml:id="echoid-s471" xml:space="preserve">aqua in ipſum infuſis, interdum a-<lb/>quam puram, interdum vinum purum, interdum vero mix-<lb/>tum emittat: </s> <s xml:id="echoid-s472" xml:space="preserve">eſt autem conſtructio talis.</s> <s xml:id="echoid-s473" xml:space="preserve"/> </p> <pb o="20" file="0026" n="26" rhead="HERONIS"/> <p> <s xml:id="echoid-s474" xml:space="preserve">Sit prochyta A B diaphragma ha-<lb/> <anchor type="figure" xlink:label="fig-0026-01a" xlink:href="fig-0026-01"/> bens medium C D: </s> <s xml:id="echoid-s475" xml:space="preserve">& </s> <s xml:id="echoid-s476" xml:space="preserve">in diaphra-<lb/>gmate juxta ventrem vafis foramina <lb/>inſtar cribri, in orbem diſpoſita, u-<lb/>bi punctum E in loco autem ſecun-<lb/>dum diametrum in ipſo diaphra-<lb/>gmate ſit foramen rotundum F, per <lb/>quod tubus impellatur F H K dia-<lb/>phragmatico arctatus, & </s> <s xml:id="echoid-s477" xml:space="preserve">à fundo <lb/>prochytæ parum diſtans, ubi G. </s> <s xml:id="echoid-s478" xml:space="preserve">Al-<lb/>terum vero ipſius oſculum H ſimul <lb/>perforetur cum latere prochytæ ſub <lb/>auricula, cui coagmentetur, exiſtens <lb/>cavum, habenſque foramen in par-<lb/>te exteriori auriculæ K. </s> <s xml:id="echoid-s479" xml:space="preserve">Quod qui-<lb/>dem cum opus fuerit, digito com-<lb/>prehendimus. </s> <s xml:id="echoid-s480" xml:space="preserve">Si igitur comprehen-<lb/>dentes ſpiraculum K, ut dictum eſt, <lb/>aliquod humidum in prochytam in-<lb/>fundamus, manebit illud in loco <lb/>ſupra diaphragma, cum non poſſit <lb/>per cribrum in locum inferiorem <lb/>deferri: </s> <s xml:id="echoid-s481" xml:space="preserve">non poteſt autem, propter-<lb/>ea quod non alium habet egreſſum, præterquam eum, qui fit per ſpira-<lb/>culum K. </s> <s xml:id="echoid-s482" xml:space="preserve">Cumigitur remittemus ſpiraculum, tunc humidum in locum <lb/>inferiorem deſcendit: </s> <s xml:id="echoid-s483" xml:space="preserve">& </s> <s xml:id="echoid-s484" xml:space="preserve">plus continebit prochyta: </s> <s xml:id="echoid-s485" xml:space="preserve">itaque ſi prius infun-<lb/>dentes vinum ita ut repleatur locus C B D, comprehendamus ſpiraculum, <lb/>& </s> <s xml:id="echoid-s486" xml:space="preserve">aquam infundamus, non commiſcebitur ea cum vino, ſed cum pro-<lb/>chytam converterimus, puram aquam emittet: </s> <s xml:id="echoid-s487" xml:space="preserve">cum vero remiſerimus <lb/>ſpiraculum aqua adhuc fluente ſimul fluet & </s> <s xml:id="echoid-s488" xml:space="preserve">vinum; </s> <s xml:id="echoid-s489" xml:space="preserve">propterea quod in lo-<lb/>cum exinanitum aër per ſpiraculum ſuccedet, poſtea vinum purum emit-<lb/>tetur: </s> <s xml:id="echoid-s490" xml:space="preserve">licet autem & </s> <s xml:id="echoid-s491" xml:space="preserve">prius infuſa aqua, ſpiraculoque comprehenſo vi-<lb/>num infundere, ita ut aliis quidem vinum purum, aliis mixtum, aliis ve-<lb/>ro cumilludere velimus puram aquam emittet.</s> <s xml:id="echoid-s492" xml:space="preserve"/> </p> <div xml:id="echoid-div22" type="float" level="2" n="1"> <figure xlink:label="fig-0026-01" xlink:href="fig-0026-01a"> <image file="0026-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0026-01"/> </figure> </div> <pb o="21" file="0027" n="27" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div24" type="section" level="1" n="16"> <head xml:id="echoid-head22" style="it" xml:space="preserve">De Sphæra cancara. IX.</head> <p> <s xml:id="echoid-s493" xml:space="preserve">Conſtruitur quoque ſphæra concava, vel aliud vas, in <lb/>quod infuſum humidum ſua ſponte, & </s> <s xml:id="echoid-s494" xml:space="preserve">cum magna vi in al-<lb/>titudinem exprimitur, adeo ut totum effundatur, quam-<lb/>quam & </s> <s xml:id="echoid-s495" xml:space="preserve">latio ſurſum præter naturam inſit: </s> <s xml:id="echoid-s496" xml:space="preserve">eſt autem con-<lb/>ſtructio talis.</s> <s xml:id="echoid-s497" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s498" xml:space="preserve">Sit ſphæra capiens cotylas circiter ſex, habensque alacum ex firma la-<lb/>mina, adeo ut futuram aëris compreſſionem ſuſtinere poſſit: </s> <s xml:id="echoid-s499" xml:space="preserve">& </s> <s xml:id="echoid-s500" xml:space="preserve">ſit A B, <lb/>collocata in aliquo hypoſpario C: </s> <s xml:id="echoid-s501" xml:space="preserve">perforata autem ipſa in ſuperiori parte <lb/>intro mittatur tubus, diſtans à loco qui ſecundum diametrum foramini op-<lb/>ponitur, qnantum ad aquæ fluxum ſatis ſit: </s> <s xml:id="echoid-s502" xml:space="preserve">& </s> <s xml:id="echoid-s503" xml:space="preserve">in ſuperiorem partem ſphæ-<lb/>ræ paulum emineas, coagmenta-<lb/> <anchor type="figure" xlink:label="fig-0027-01a" xlink:href="fig-0027-01"/> tusque; </s> <s xml:id="echoid-s504" xml:space="preserve">ipſius alveo juxta fora-<lb/>men: </s> <s xml:id="echoid-s505" xml:space="preserve">ſcindatur autem oſculum <lb/>ſuperius in duos tubos DG, DF: <lb/></s> <s xml:id="echoid-s506" xml:space="preserve">quibus conglutinentur alii duo <lb/>tubi tranſverſi GHKL, FMNX; </s> <s xml:id="echoid-s507" xml:space="preserve"><lb/>ſimul perforati cum ipſis D G, <lb/>D F, & </s> <s xml:id="echoid-s508" xml:space="preserve">alius tubus O Pintro-<lb/>mittatur in tubos G H K L, <lb/>FMNX fimul perforatus cum <lb/>iis, quæ ſunt in GHKL, FMNX <lb/>foraminibus & </s> <s xml:id="echoid-s509" xml:space="preserve">habens tubulum <lb/>rectum appoſitum R S, ſimul <lb/>cum ipſo perforatum: </s> <s xml:id="echoid-s510" xml:space="preserve">& </s> <s xml:id="echoid-s511" xml:space="preserve">in par-<lb/>vum oſculum deſinens, quod <lb/>ſit S. </s> <s xml:id="echoid-s512" xml:space="preserve">Si igitur apprehendentes <lb/>tubulum R S invertamus ipſum <lb/>P O tubum, occludentur ſibii-<lb/>pſis reſpondentia foramina; </s> <s xml:id="echoid-s513" xml:space="preserve">ita ut <lb/>humidum, quod exprimi debet, <lb/>egreſſum non habeat: </s> <s xml:id="echoid-s514" xml:space="preserve">demittatur <lb/>etiam alius tubus in ſphæra <lb/>T Y V per aliquod foramen ha-<lb/>bens inferius oſculum V ob-<lb/>ſtructum: </s> <s xml:id="echoid-s515" xml:space="preserve">à latere vero foramen <pb o="22" file="0028" n="28" rhead="HERONIS"/> rotundum Q juxta fundum, cui clavicula apponatur à Romanis aſſarium <lb/>appellata, cujus conſtructionem deinceps exponemus: </s> <s xml:id="echoid-s516" xml:space="preserve">alius autem tu-<lb/>bus Z Ω demittatur aptatus in tubum T Y V. </s> <s xml:id="echoid-s517" xml:space="preserve">Siigitur evellentes tubum <lb/>ZΩ, in ipſum T Y V humidum infundamus, ingredieturillud in ſphæ-<lb/>ræ alveum per foramen Q, aperta clavicula in partem exteriorem, atque <lb/>aëre recedente per tubi O P foramina jam dicta, & </s> <s xml:id="echoid-s518" xml:space="preserve">poſita ſecundum fo-<lb/>ramina, quæ in tubis GHKL, <lb/> <anchor type="figure" xlink:label="fig-0028-01a" xlink:href="fig-0028-01"/> F M N X. </s> <s xml:id="echoid-s519" xml:space="preserve">Itaque cum dimi-<lb/>dium ſphæræ occupaverit hu-<lb/>midum, inclinamus tubulum <lb/>SR, ita ut foramina ſibiipſis re-<lb/>ſpondentia permutentur: </s> <s xml:id="echoid-s520" xml:space="preserve">poſtea <lb/>demittentes tubum ZΩ per i-<lb/>pſum extrudimus aërem, & </s> <s xml:id="echoid-s521" xml:space="preserve">hu-<lb/>midum in tubo T Y V conten-<lb/>tum, qui quidem per clavicu-<lb/>lam in ſphæræ alveum cum <lb/>violentia irrumpit, propterea <lb/>quod ſphæra plena ſit aëre & </s> <s xml:id="echoid-s522" xml:space="preserve"><lb/>humido: </s> <s xml:id="echoid-s523" xml:space="preserve">fit autem irruptio ob <lb/>aëris compreſſionem in vacua, <lb/>quæ intra ipſum includuntur, <lb/>pervadentis. </s> <s xml:id="echoid-s524" xml:space="preserve">Deinde rurſus <lb/>evellentes tubum Z Ω, ita ut <lb/>T Y V tubus aëre impleatur, <lb/>rurſus tubum Z Ω demittemus, <lb/>atque in ſphæram prædictum <lb/>aërem impellemus: </s> <s xml:id="echoid-s525" xml:space="preserve">idque ſæ-<lb/>pius facientes habebimus in <lb/>ſphæra multum aërem compreſ-<lb/>ſum. </s> <s xml:id="echoid-s526" xml:space="preserve">At vero incluſum aërem <lb/>evulſo embolo non exire perſpicuum eſt, quod clavicula ab ipſo ad in-<lb/>teriores partes impulſa claudatur. </s> <s xml:id="echoid-s527" xml:space="preserve">Si igitur rurſus elevabimus tubulum <lb/>R S ita ut rectus fiat, & </s> <s xml:id="echoid-s528" xml:space="preserve">foramina ſibi ipſis reſpondeant, tunc exprime-<lb/>tur humidum, quod aër compreſſus in propriam magnitudinem effunda-<lb/>tur, & </s> <s xml:id="echoid-s529" xml:space="preserve">ſubjectum humidum extrudat. </s> <s xml:id="echoid-s530" xml:space="preserve">Quod ſi compreſſus aër multus <lb/>ſit, totum expellet humidum, ita ut etiam ſuperfluus aër ſimul cum humi-<lb/>do ejiciatur.</s> <s xml:id="echoid-s531" xml:space="preserve"/> </p> <div xml:id="echoid-div24" type="float" level="2" n="1"> <figure xlink:label="fig-0027-01" xlink:href="fig-0027-01a"> <image file="0027-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0027-01"/> </figure> <figure xlink:label="fig-0028-01" xlink:href="fig-0028-01a"> <image file="0028-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0028-01"/> </figure> </div> <pb o="23" file="0029" n="29" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div26" type="section" level="1" n="17"> <head xml:id="echoid-head23" style="it" xml:space="preserve">De Aſſario. X.</head> <p> <s xml:id="echoid-s532" xml:space="preserve">Aſſarium autem, de quo dictum eſt, conſtruitur hoc <lb/>modo.</s> <s xml:id="echoid-s533" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s534" xml:space="preserve">Duo laterculi quadra-<lb/> <anchor type="figure" xlink:label="fig-0029-01a" xlink:href="fig-0029-01"/> ti ex ære conſtruantur, <lb/>habentes unumquodque <lb/>latus circiter unius digi-<lb/>ti, craſſitudinem autem <lb/>veluti amuſſis. </s> <s xml:id="echoid-s535" xml:space="preserve">Hi igitur <lb/>inter ſe aptati ſecundum <lb/>latitudinem detergantur, <lb/>hoc eſt expoliantur, ita <lb/>ut inter ipſos neque aër, <lb/>neque humidum interci-<lb/>dat. </s> <s xml:id="echoid-s536" xml:space="preserve">Sine<unsure/> autem hi A B <lb/>C D, E F G H: </s> <s xml:id="echoid-s537" xml:space="preserve">& </s> <s xml:id="echoid-s538" xml:space="preserve">i-<lb/>pſorum unus, videlicet <lb/>A B C D in medio per-<lb/>do, cujus diameter ſit ut <lb/>foretur foramine rotun-<lb/>tertia pars digiti. </s> <s xml:id="echoid-s539" xml:space="preserve">Itaque <lb/>latere A D aptato ad E <lb/>H, laterculi inter ſeſe <lb/>cardinibus vinciantur, ita ut eorum ſuperficies expolitæ inter ſe conve-<lb/>niant. </s> <s xml:id="echoid-s540" xml:space="preserve">Cum igirur per ipſos operari voluerimus, conglutinatur latercu-<lb/>lus A B C D foramini, per quod five aërem, ſive humidum intruſum <lb/>coercere poteſt, namque ob impulſionem aperitur laterculus E F G H, <lb/>quod expedite per cardines moveatur, & </s> <s xml:id="echoid-s541" xml:space="preserve">aërem, atque humidum ex-<lb/>cipit qui includitur in vas firmum, obſiſtens laterculo E F G H, & </s> <s xml:id="echoid-s542" xml:space="preserve">fo-<lb/>ramen claudens, per quod ipſe aër intus impellitur.</s> <s xml:id="echoid-s543" xml:space="preserve"/> </p> <div xml:id="echoid-div26" type="float" level="2" n="1"> <figure xlink:label="fig-0029-01" xlink:href="fig-0029-01a"> <image file="0029-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0029-01"/> </figure> </div> </div> <div xml:id="echoid-div28" type="section" level="1" n="18"> <head xml:id="echoid-head24" xml:space="preserve">XI.</head> <p> <s xml:id="echoid-s544" xml:space="preserve">In quibuſdam aris igne evaporante aſſiſtentia animalia ſa-<lb/>crificare, conſtruitur autem hoc modo.</s> <s xml:id="echoid-s545" xml:space="preserve"/> </p> <pb o="24" file="0030" n="30" rhead="HERONIS"/> <figure> <image file="0030-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0030-01"/> </figure> <p> <s xml:id="echoid-s546" xml:space="preserve">Sit baſis in qua ſtant animalia A B C D, cui quidem inſiſtat ara undi-<lb/>que præclufa, ipſa etiam baſis præcluſa ſit, acſimul cum ara perforata in <lb/>C: </s> <s xml:id="echoid-s547" xml:space="preserve">per baſim vero tubus trajiciatur HKL, paulum à baſis fundo diſtans <lb/>ad L: </s> <s xml:id="echoid-s548" xml:space="preserve">& </s> <s xml:id="echoid-s549" xml:space="preserve">ſimul perforatus cum phiala, quam animal continet ad H: </s> <s xml:id="echoid-s550" xml:space="preserve">in-<lb/>fundatur humidum in baſim per aliquod foramen M quod poſt infuſionem <lb/>obturetur. </s> <s xml:id="echoid-s551" xml:space="preserve">Si igitur in ara E F G ignis accendatur, continget intrinſecum <lb/>aërem attenuatum in baſimferri, & </s> <s xml:id="echoid-s552" xml:space="preserve">quod in ipſa eſt humidum extrudere: <lb/></s> <s xml:id="echoid-s553" xml:space="preserve">hoc autem nonhabens aliam antiperiſtaſim per tubum H K L in phialam <lb/>procedit, & </s> <s xml:id="echoid-s554" xml:space="preserve">ita ſacrificat animal: </s> <s xml:id="echoid-s555" xml:space="preserve">idque tam diu fit, quam diu ignis im-<lb/>ponitur: </s> <s xml:id="echoid-s556" xml:space="preserve">extincto autem igne rurſus ceſſat ſacrificare: </s> <s xml:id="echoid-s557" xml:space="preserve">atque hoc toties <lb/>iterabitur, quoties ignisincendetur. </s> <s xml:id="echoid-s558" xml:space="preserve">Sit autem tubus, per quem caliditas <lb/>procedere debet, latior in medio: </s> <s xml:id="echoid-s559" xml:space="preserve">neceſle eſt enim caliditatem, vel potius <lb/>vaporem ab ipſa ortum, cum in ampliorem locum deveniat, majorem eva-<lb/>dere, & </s> <s xml:id="echoid-s560" xml:space="preserve">plus etiam poſſe operari.</s> <s xml:id="echoid-s561" xml:space="preserve"/> </p> <pb o="25" file="0031" n="31" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div29" type="section" level="1" n="19"> <head xml:id="echoid-head25" xml:space="preserve">XII.</head> <p> <s xml:id="echoid-s562" xml:space="preserve">Quædam vaſa, niſi repleta ſint, non fluunt: </s> <s xml:id="echoid-s563" xml:space="preserve">ſi vero re-<lb/>pleantur, totum, quod in ipſis eſt humidum effluit: </s> <s xml:id="echoid-s564" xml:space="preserve">con-<lb/>ſtruitur autem hoc modo.</s> <s xml:id="echoid-s565" xml:space="preserve"/> </p> <figure> <image file="0031-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0031-01"/> </figure> <p> <s xml:id="echoid-s566" xml:space="preserve">Sit vas A B C D non coopertum, per cujus fundum trajiciatur vel <lb/>ſpiritalis diabetes E F L H, vel inflexus ſiphon GHK. </s> <s xml:id="echoid-s567" xml:space="preserve">Itaque repleto <lb/>vaſe A B C D, & </s> <s xml:id="echoid-s568" xml:space="preserve">aqua ſuperinfuſa, contingit ipſam per diabetas ferri, & </s> <s xml:id="echoid-s569" xml:space="preserve"><lb/>rurſus effluere, quouſque totum vas A B C D exinaniatur, ſi modo diabetæ <lb/>principia habeant propè fundum vaſis, ita ut ſolum aquæ fluxus reſervetur.</s> <s xml:id="echoid-s570" xml:space="preserve"/> </p> <figure> <image file="0031-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0031-02"/> </figure> <pb o="26" file="0032" n="32" rhead="HERONIS"/> </div> <div xml:id="echoid-div30" type="section" level="1" n="20"> <head xml:id="echoid-head26" style="it" xml:space="preserve">De concor diæcrateribus. XIII.</head> <p> <s xml:id="echoid-s571" xml:space="preserve">Duobus vaſis in quadam baſi exiſtentibus, & </s> <s xml:id="echoid-s572" xml:space="preserve">uno ipſo-<lb/>rum repleto vino, altero autem vacuo exiſtente, & </s> <s xml:id="echoid-s573" xml:space="preserve">utriſ-<lb/>que canales apertos habentibus, non effluit vinum, niſi & </s> <s xml:id="echoid-s574" xml:space="preserve"><lb/>alterum vas aqua impleatur: </s> <s xml:id="echoid-s575" xml:space="preserve">tunc enim ex uno quidem eo-<lb/>rum, vinum, ex altero autem aqua effluit, quoad utraque <lb/>exinaniantur: </s> <s xml:id="echoid-s576" xml:space="preserve">dicuntur autem concordiæ crateres.</s> <s xml:id="echoid-s577" xml:space="preserve"/> </p> <figure> <image file="0032-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0032-01"/> </figure> <p> <s xml:id="echoid-s578" xml:space="preserve">Sit baſis quidem, in qua vaſa collocantur A B C D: </s> <s xml:id="echoid-s579" xml:space="preserve">vaſa autem ſint <lb/>E F, in quorum utroque ſit inflexus ſiphon, in vaſe quidem E ſiphon G H <lb/>K; </s> <s xml:id="echoid-s580" xml:space="preserve">in F vero L M N, qui habeant exteriores exceſſus in canales deſinen-<lb/>tes: </s> <s xml:id="echoid-s581" xml:space="preserve">curvitates vero ad vaſorum oſcula emineant: </s> <s xml:id="echoid-s582" xml:space="preserve">& </s> <s xml:id="echoid-s583" xml:space="preserve">alter tubus per ba-<lb/>ſimin vaſainflectatur, qui ſit X O P R, cujus oſcula X R ſint juxtaipſas <pb o="27" file="0033" n="33" rhead="SPIRITAL. LIBER."/> tuborum curvitates: </s> <s xml:id="echoid-s584" xml:space="preserve">in vas autem E infundatur vinum, ita ut humidi ſu-<lb/>perficies non ſit ſupra tubi curvitatem H, Hucuſqueigitur vinum non <lb/>fluit, propterea quod tubus non habet principium fluxus. </s> <s xml:id="echoid-s585" xml:space="preserve">Quod ſi in vas <lb/>F aquam infundamus adeo, ut ipſius ſuperficies excedat curvitatem M, <lb/>tunc aqua defluet perque tubum X O P R feretur in vas E, & </s> <s xml:id="echoid-s586" xml:space="preserve">principium <lb/>fluxus vino dabit: </s> <s xml:id="echoid-s587" xml:space="preserve">& </s> <s xml:id="echoid-s588" xml:space="preserve">tunc utraque vaſa effundent, hoc quidem vinum, <lb/>illud vero aquam.</s> <s xml:id="echoid-s589" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div31" type="section" level="1" n="21"> <head xml:id="echoid-head27" xml:space="preserve">XIV.</head> <p> <s xml:id="echoid-s590" xml:space="preserve">Si in quædam vaſa aqua infundatur, vox redditur melan-<lb/>coryphi, vel ſibilus. </s> <s xml:id="echoid-s591" xml:space="preserve">Conſtruitur autem hoc modo.</s> <s xml:id="echoid-s592" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s593" xml:space="preserve">Sit baſis præcluſa <lb/> <anchor type="figure" xlink:label="fig-0033-01a" xlink:href="fig-0033-01"/> A B C D, & </s> <s xml:id="echoid-s594" xml:space="preserve">per A D <lb/>operculum infun dibu-<lb/>lum E F trajiciatur, cu-<lb/>jus caulis diſtet à fundo, <lb/>quantum ad aquæ flu-<lb/>xum ſatis ſit; </s> <s xml:id="echoid-s595" xml:space="preserve">& </s> <s xml:id="echoid-s596" xml:space="preserve">opercu-<lb/>lo coarctetur. </s> <s xml:id="echoid-s597" xml:space="preserve">Sit etiam <lb/>ſyringula G H K; </s> <s xml:id="echoid-s598" xml:space="preserve">quæ <lb/>ſonum fundere conſue-<lb/>verit; </s> <s xml:id="echoid-s599" xml:space="preserve">& </s> <s xml:id="echoid-s600" xml:space="preserve">ſimul perfore-<lb/>tur cum baſi, & </s> <s xml:id="echoid-s601" xml:space="preserve">oper-<lb/>culo A D ſimiliter co-<lb/>arctetur: </s> <s xml:id="echoid-s602" xml:space="preserve">oſculum au-<lb/>tem ejus K incurvetur <lb/>in aquulam appoſito <lb/>parvo vaſe, quod ſit L: <lb/></s> <s xml:id="echoid-s603" xml:space="preserve">infuſaigitur aqua per in-<lb/>fundibulum E F, con-<lb/>tingit aërem, qui eſt in <lb/>baſi, extruſum proce-<lb/>dere per ſyringulam <lb/>G H K; </s> <s xml:id="echoid-s604" xml:space="preserve">& </s> <s xml:id="echoid-s605" xml:space="preserve">ita ſonum <lb/>edere. </s> <s xml:id="echoid-s606" xml:space="preserve">Quod ſi ſyringulæ pars extrema incurvata ſit in aquam, ſtrepi-<lb/>tans apparet ſonus, ita ut melancoryphi vox reddatur. </s> <s xml:id="echoid-s607" xml:space="preserve">Si vero non ap-<lb/>ponatur aqua, ſibilus tantum erit.</s> <s xml:id="echoid-s608" xml:space="preserve"/> </p> <div xml:id="echoid-div31" type="float" level="2" n="1"> <figure xlink:label="fig-0033-01" xlink:href="fig-0033-01a"> <image file="0033-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0033-01"/> </figure> </div> <pb o="28" file="0034" n="34" rhead="HERONIS"/> </div> <div xml:id="echoid-div33" type="section" level="1" n="22"> <head xml:id="echoid-head28" xml:space="preserve">XV.</head> <p> <s xml:id="echoid-s609" xml:space="preserve">Voces igitur per ſyringas fiunt, ſed differentes ſoni red-<lb/>duntur à ſyringis, vel tenuioribus, vel craſſioribus, vel <lb/>etiam in longitudinem extenſis, vel contractis: </s> <s xml:id="echoid-s610" xml:space="preserve">vel cum <lb/>pars ipſarum in aquam immergitur, aut uberiorem, autexi-<lb/>liorem, adeo ut multarum avicularum hoc modo voces effi-<lb/>ciantur. </s> <s xml:id="echoid-s611" xml:space="preserve">Conſtruuntur autem vel in fonte, vel in antro, vel <lb/>univerſe ubicumque aqua influit, aviculæ multæ per ordi-<lb/>nem diſpoſitæ, & </s> <s xml:id="echoid-s612" xml:space="preserve">his aſſidens noctua, quæ ſua ſponte ad avi-<lb/>culas convertitur, & </s> <s xml:id="echoid-s613" xml:space="preserve">rurſus avertitur: </s> <s xml:id="echoid-s614" xml:space="preserve">averſa autem ea can-<lb/>tant aviculæ & </s> <s xml:id="echoid-s615" xml:space="preserve">rurſus ad ipſas converſa non amplius cantant: <lb/></s> <s xml:id="echoid-s616" xml:space="preserve">atque hoc ſæpius fit. </s> <s xml:id="echoid-s617" xml:space="preserve">Conſtruitur autem hoc modo.</s> <s xml:id="echoid-s618" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s619" xml:space="preserve">Sit canaliculus ſemper fluens A, & </s> <s xml:id="echoid-s620" xml:space="preserve">ipſi ſubjiciatur præcluſum <lb/>vas B C D E, habens ſpiritalem diabetem, vel ſiphona inflexum <lb/>F G, & </s> <s xml:id="echoid-s621" xml:space="preserve">demiſſum infundibulum H K, cujus caulis diſtet à fundo vaſis <lb/>quantum ad aquæ fluxum ſatis ſit: </s> <s xml:id="echoid-s622" xml:space="preserve">habeat autem plures ſyringulas, <lb/>quales antea diximus, ut in L: </s> <s xml:id="echoid-s623" xml:space="preserve">Itaque dum vas B C D E aqua impletur, <lb/>continget aërem, quieſt in ipſo, extruſum per ſyringulas, avicularum <lb/>cantus imitari: </s> <s xml:id="echoid-s624" xml:space="preserve">unaquæque enim ſyringularum in unamquamque avicu-<lb/>lam ſecundum os terminatur: </s> <s xml:id="echoid-s625" xml:space="preserve">ſed dum poſt repletionem exinanitur per <lb/>tubum C F, non amplius cantare.</s> <s xml:id="echoid-s626" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s627" xml:space="preserve">Ut autem noctua ad aviculas convertatur, & </s> <s xml:id="echoid-s628" xml:space="preserve">avertatur, <lb/>ſicuti traditum eſt, ante conſtruentur ea, de quibus dice-<lb/>mus.</s> <s xml:id="echoid-s629" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s630" xml:space="preserve">Sit enim in aliqua baſi M axis rectus, & </s> <s xml:id="echoid-s631" xml:space="preserve">tornatus N X, circa quem <lb/>aptetur ſyringa O P, quæ expedite circa ipſum converti poſſit: </s> <s xml:id="echoid-s632" xml:space="preserve">huic <lb/>autem compactum ſit parvum tympanum R S, in quo inſiſtet noctua ipſi <lb/>coagmentata, & </s> <s xml:id="echoid-s633" xml:space="preserve">circa ſyringam duæ catenæ in contrariam partem <lb/>diſſolutæ T Y, V G, quæ per duas trochleas referantur, T Y quidem <lb/>ad pondus Z ſuſpenſum, V G vero ad vas concavum Ω ſubjectum ſipho-<lb/>ni vel ſpiritali diabetæ F G. </s> <s xml:id="echoid-s634" xml:space="preserve">Contingit igitur dum vas B C D E exinani-<lb/>tur, humidum ferri in vas Ω, ſyringamque O P & </s> <s xml:id="echoid-s635" xml:space="preserve">noctuam converti, ita <lb/>ut ad aviculas ſpectet: </s> <s xml:id="echoid-s636" xml:space="preserve">exinanito autem B C D E vaſe, & </s> <s xml:id="echoid-s637" xml:space="preserve">ipſum vas Ω <lb/>exinaniri per aliquem ſiphonem, vel ſpiritalem diabetem, qui eſt in ipſo: <lb/></s> <s xml:id="echoid-s638" xml:space="preserve">quare rurſus propendens pondus Z noctuam avertet eo tempore, quo <lb/>vas B C D E impletur aqua, & </s> <s xml:id="echoid-s639" xml:space="preserve">rurſus avicularum voces redduntur.</s> <s xml:id="echoid-s640" xml:space="preserve"/> </p> <pb o="29" file="0035" n="35" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div34" type="section" level="1" n="23"> <head xml:id="echoid-head29" xml:space="preserve">XVI.</head> <p> <s xml:id="echoid-s641" xml:space="preserve">Simili ratione & </s> <s xml:id="echoid-s642" xml:space="preserve">tubarum ſoni fiunt.</s> <s xml:id="echoid-s643" xml:space="preserve"/> </p> <figure> <image file="0035-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0035-01"/> </figure> <p> <s xml:id="echoid-s644" xml:space="preserve">Quando enim in vas præcluſum demittatur caulis infundibuli, parum <lb/>à fundo diſtans, & </s> <s xml:id="echoid-s645" xml:space="preserve">vaſis operculo coarctetur: </s> <s xml:id="echoid-s646" xml:space="preserve">deinde tuba habens & </s> <s xml:id="echoid-s647" xml:space="preserve"><lb/>codona & </s> <s xml:id="echoid-s648" xml:space="preserve">lingulam, ſimul perforata cum vaſe in parte ſuperiori ipſius; <lb/></s> <s xml:id="echoid-s649" xml:space="preserve">contingit infuſo perinfundibulum humido aërem, qui in ipſo eſt, extru-<lb/>ſum per lingulam ſonum perficere.</s> <s xml:id="echoid-s650" xml:space="preserve"/> </p> <pb o="30" file="0036" n="36" rhead="HERONIS."/> </div> <div xml:id="echoid-div35" type="section" level="1" n="24"> <head xml:id="echoid-head30" xml:space="preserve">XVII.</head> <p> <s xml:id="echoid-s651" xml:space="preserve">Apertis templi valvis ſonus tubæ hoc modo efficitur.</s> <s xml:id="echoid-s652" xml:space="preserve"/> </p> <figure> <image file="0036-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0036-01"/> </figure> <p> <s xml:id="echoid-s653" xml:space="preserve">Sit poſt valvas vas A B C D aquam habens, in quo ſit ſuffocarium, <lb/>hoc eſt vas ſyſtomum inverſum F, quippe@cujus os ſenſim contrahitur: </s> <s xml:id="echoid-s654" xml:space="preserve">ejus <lb/>fundo perforato aptetur tuba habens & </s> <s xml:id="echoid-s655" xml:space="preserve">codona, & </s> <s xml:id="echoid-s656" xml:space="preserve">lingulam : </s> <s xml:id="echoid-s657" xml:space="preserve">canali <lb/>autem tubæ apponatur regula L M, coagmentata ſuffocatorio, cana-<lb/>lique tubæ alligata: </s> <s xml:id="echoid-s658" xml:space="preserve">& </s> <s xml:id="echoid-s659" xml:space="preserve">in extremitate ejus habens columation Z, hoc <lb/>eſt chelonarion, cuiſubjiciatur regula N X, ſuſtinens ſuffocatorium F, <lb/>tantum ab aqua diſtans, quantum ſatis ſit: </s> <s xml:id="echoid-s660" xml:space="preserve">& </s> <s xml:id="echoid-s661" xml:space="preserve">regula N X circa fibulam <lb/>O moveatur: </s> <s xml:id="echoid-s662" xml:space="preserve">in extremitate autem regulæ X catena, vel funis alligata <lb/>referatur per orbiculum P ad partem valvarum poſteriorem: </s> <s xml:id="echoid-s663" xml:space="preserve">continget <lb/>igitur valvis apertis extentum funem trahere extremitatem regulæ Y: </s> <s xml:id="echoid-s664" xml:space="preserve">ita <lb/>ut regula N X non amplius colymatio Z ſubjiciatur: </s> <s xml:id="echoid-s665" xml:space="preserve">hoc autem per-<lb/>mutato ſuffocatorium in aquam delatum tubæ ſonum efficiet, propter-<lb/>ea quod aër, qui eſt in ipſo per lingulam, & </s> <s xml:id="echoid-s666" xml:space="preserve">codona extruditur.</s> <s xml:id="echoid-s667" xml:space="preserve"/> </p> <pb o="31" file="0037" n="37" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div36" type="section" level="1" n="25"> <head xml:id="echoid-head31" xml:space="preserve">XVIII.</head> <p> <s xml:id="echoid-s668" xml:space="preserve">In quædam vaſa prius infuſo vino, quando aquam infun-<lb/>dimus, interdum quidem aqua pura, interdum vero pu-<lb/>rum vinum effluit: </s> <s xml:id="echoid-s669" xml:space="preserve">conſtruitur autem hoc modo.</s> <s xml:id="echoid-s670" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s671" xml:space="preserve">Sit vas A B C habens <lb/> <anchor type="figure" xlink:label="fig-0037-01a" xlink:href="fig-0037-01"/> duo diaphragmata D E <lb/>F G, & </s> <s xml:id="echoid-s672" xml:space="preserve">per utraque ipſo-<lb/>rum impellatur tubus H <lb/>K, coarctatus diaphra-<lb/>gmatibus, & </s> <s xml:id="echoid-s673" xml:space="preserve">perforatus fo-<lb/>ramine L paulo ſupra dia-<lb/>phragma F G ſub dia-<lb/>phragmate vero D E ſit <lb/>ſpiraculum M in ventre <lb/>vaſis. </s> <s xml:id="echoid-s674" xml:space="preserve">His ita ſe habenti-<lb/>bus: </s> <s xml:id="echoid-s675" xml:space="preserve">ſi quis comprehen-<lb/>dens effluxionem C infun-<lb/>dat vinum, procedet per <lb/>foramen L inlocum D E <lb/>F G: </s> <s xml:id="echoid-s676" xml:space="preserve">aër enim, qui in <lb/>ipſo eſt per ſpiraculum M <lb/>recedet. </s> <s xml:id="echoid-s677" xml:space="preserve">Quando igitur di-<lb/>gito obturemus ſpiraculum M, vinum in D E F G loco detinebitur. </s> <s xml:id="echoid-s678" xml:space="preserve">Et <lb/>quando aquam infundamus in partem vaſis A B D E claudentes ſpiraculum <lb/>M pura fluet aqua. </s> <s xml:id="echoid-s679" xml:space="preserve">Si vero dimittamus M ſpiraculum, cum adhuc in parte <lb/>ſuperiori ſit aqua, mixtum effluet: </s> <s xml:id="echoid-s680" xml:space="preserve">& </s> <s xml:id="echoid-s681" xml:space="preserve">poſtea quam aqua effluxerit, tunc <lb/>purum effluet vinum: </s> <s xml:id="echoid-s682" xml:space="preserve">licet etiam fæpius dimiſſo ſpiraculo M difterentes <lb/>effluxiones fieri: </s> <s xml:id="echoid-s683" xml:space="preserve">ſed melius eſt prius infundentes aquam in locum D E <lb/>F G, ſpiraculumque comprehendentes vinum infundere: </s> <s xml:id="echoid-s684" xml:space="preserve">continget <lb/>enim aliquando quidem purum effluere vinum; </s> <s xml:id="echoid-s685" xml:space="preserve">dimiſlo autem ſpiraculo <lb/>mixtum: </s> <s xml:id="echoid-s686" xml:space="preserve">& </s> <s xml:id="echoid-s687" xml:space="preserve">rurſus comprehenſo vinum purum effluere: </s> <s xml:id="echoid-s688" xml:space="preserve">idque toties <lb/>fiet, quoties ipſi voluerimus.</s> <s xml:id="echoid-s689" xml:space="preserve"/> </p> <div xml:id="echoid-div36" type="float" level="2" n="1"> <figure xlink:label="fig-0037-01" xlink:href="fig-0037-01a"> <image file="0037-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0037-01"/> </figure> </div> <pb o="32" file="0038" n="38" rhead="HERONIS"/> </div> <div xml:id="echoid-div38" type="section" level="1" n="26"> <head xml:id="echoid-head32" xml:space="preserve">XIX.</head> <p> <s xml:id="echoid-s690" xml:space="preserve">Cratere in quadam baſi collocato, & </s> <s xml:id="echoid-s691" xml:space="preserve">pleno exiſtente vi-<lb/>no, quantumcumque ex eo quiſpiam hauſerit, rurſus ple-<lb/>nus erit crater: </s> <s xml:id="echoid-s692" xml:space="preserve">conſtruitur autem hoc modo.</s> <s xml:id="echoid-s693" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s694" xml:space="preserve">Sit vas A B, oſcu-<lb/> <anchor type="figure" xlink:label="fig-0038-01a" xlink:href="fig-0038-01"/> lum habens interſe-<lb/>ptum diaphragmate C <lb/>D juxta ipſum collum: <lb/></s> <s xml:id="echoid-s695" xml:space="preserve">& </s> <s xml:id="echoid-s696" xml:space="preserve">per diaphragma de-<lb/>mittatur tubus E F, <lb/>paulum à fundo di-<lb/>ſtans; </s> <s xml:id="echoid-s697" xml:space="preserve">alter autem tu-<lb/>bus G H per fundum <lb/>impellatur: </s> <s xml:id="echoid-s698" xml:space="preserve">parum di-<lb/>ſtans à diaphragmate <lb/>C D: </s> <s xml:id="echoid-s699" xml:space="preserve">& </s> <s xml:id="echoid-s700" xml:space="preserve">vaſis fundum <lb/>ad K perforetur, ſu-<lb/>matque tubulum K L. </s> <s xml:id="echoid-s701" xml:space="preserve"><lb/>At ipſum vas A B in <lb/>quadam baſi M N X O <lb/>collocetur, per quam <lb/>ſit tubi G H exceſſus: </s> <s xml:id="echoid-s702" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s703" xml:space="preserve">craterſit P R: </s> <s xml:id="echoid-s704" xml:space="preserve">perbaſim vero M N X O ſit tubus S T ſimul cum baſi, <lb/>& </s> <s xml:id="echoid-s705" xml:space="preserve">cratere perforatus; </s> <s xml:id="echoid-s706" xml:space="preserve">qui habeat altitudinem æqualem oſculo H ipſius <lb/>G H tubi: </s> <s xml:id="echoid-s707" xml:space="preserve">infundamus igitur vinum per tubum E F in vas A B: </s> <s xml:id="echoid-s708" xml:space="preserve">aër <lb/>enim per tubum G H exibit, & </s> <s xml:id="echoid-s709" xml:space="preserve">ſi quidem K L tubulus apertus ſit, vinum <lb/>quod infunditur per ipſum in baſim, & </s> <s xml:id="echoid-s710" xml:space="preserve">in craterem procedet: </s> <s xml:id="echoid-s711" xml:space="preserve">ſi vero <lb/>obturetur, tunc vas A B implebitur: </s> <s xml:id="echoid-s712" xml:space="preserve">itaque infundamus vinum, & </s> <s xml:id="echoid-s713" xml:space="preserve">in <lb/>baſim M N X O, & </s> <s xml:id="echoid-s714" xml:space="preserve">in P R craterem, adeo ut crater plenus ſit, & </s> <s xml:id="echoid-s715" xml:space="preserve">ba-<lb/>ſis M N X O impleatur uſque ad G H tubi oſculum. </s> <s xml:id="echoid-s716" xml:space="preserve">Quo quidem facto <lb/>& </s> <s xml:id="echoid-s717" xml:space="preserve">obturato oſculo E, vinum quod eſt in A B vaſe non amplius per tubum <lb/>K L in baſim fluet, quippe cum non habeat alium aërem, quem in lo-<lb/>cum vacuatum ſubſtituat: </s> <s xml:id="echoid-s718" xml:space="preserve">erat enim ei aditus per oſculum E. </s> <s xml:id="echoid-s719" xml:space="preserve">Quando igi-<lb/>tur ex cratere vinum exhauriemus, aperietur E oſculum: </s> <s xml:id="echoid-s720" xml:space="preserve">& </s> <s xml:id="echoid-s721" xml:space="preserve">ſubeunte <lb/>aëre rurſus vinum fluet in baſim & </s> <s xml:id="echoid-s722" xml:space="preserve">in craterem P R, quoad plenus fiat: </s> <s xml:id="echoid-s723" xml:space="preserve"><lb/>atque hoc toties erit, quoties vinum ex cratere hauriemus: </s> <s xml:id="echoid-s724" xml:space="preserve">oportebit <lb/>autem & </s> <s xml:id="echoid-s725" xml:space="preserve">baſim MNXO perforatam eſſe foramine Y:</s> <s xml:id="echoid-s726" xml:space="preserve">ut aër, qui eſt in vaſe <lb/>A B vino cedens per oſculum G ingrediatur, & </s> <s xml:id="echoid-s727" xml:space="preserve">per ſoramen Y exeat.</s> <s xml:id="echoid-s728" xml:space="preserve"/> </p> <div xml:id="echoid-div38" type="float" level="2" n="1"> <figure xlink:label="fig-0038-01" xlink:href="fig-0038-01a"> <image file="0038-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0038-01"/> </figure> </div> <pb o="33" file="0039" n="39" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div40" type="section" level="1" n="27"> <head xml:id="echoid-head33" xml:space="preserve">XX.</head> <p> <s xml:id="echoid-s729" xml:space="preserve">Quod ſi in uſumidem parare velimus, ut cratere in aliquo <lb/>loco collocato, quanquam ex ipſo plurimum aquæ hauria-<lb/>tur, tamen ſemper plenus exiſtat, ita conſtruetur.</s> <s xml:id="echoid-s730" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s731" xml:space="preserve">Sit vas A B, & </s> <s xml:id="echoid-s732" xml:space="preserve"><lb/> <anchor type="figure" xlink:label="fig-0039-01a" xlink:href="fig-0039-01"/> in eo aqua, quæ ad <lb/>futurum uſum ſuffi-<lb/>ciat: </s> <s xml:id="echoid-s733" xml:space="preserve">canalis autem <lb/>ex ipſo ſit C D, cui <lb/>ſubjiciatur torcular <lb/>G H: </s> <s xml:id="echoid-s734" xml:space="preserve">& </s> <s xml:id="echoid-s735" xml:space="preserve">regula quæ-<lb/>dam juxta canalem <lb/>aptetur E F: </s> <s xml:id="echoid-s736" xml:space="preserve">ad cu-<lb/>jus extremitatem E <lb/>ſuſpendatur ſuber K, <lb/>exiſtens in torculari: <lb/></s> <s xml:id="echoid-s737" xml:space="preserve">ad F vero religetur <lb/>catenula habens pon-<lb/>dus plumbeum X, <lb/>quod ita ſit conſtructum, ut ſubere K in torcularis aqua innatante clau-<lb/>datur canalis: </s> <s xml:id="echoid-s738" xml:space="preserve">evacuata autem aqua extorculari, deſcendens ſuber ca-<lb/>nalem aperiat; </s> <s xml:id="echoid-s739" xml:space="preserve">ita ut rurſus influens aqua ſuber extollat: </s> <s xml:id="echoid-s740" xml:space="preserve">& </s> <s xml:id="echoid-s741" xml:space="preserve">rurſus ca-<lb/>nalis claudatur: </s> <s xml:id="echoid-s742" xml:space="preserve">oportebit autem ſuber gravius eſſe eo pondere, quod <lb/>ad X conſtituitur. </s> <s xml:id="echoid-s743" xml:space="preserve">Sit autem jam dictus crater L M in aliquo loco poſitus, <lb/>cujus labrum ſit in eadem ſuperficie, in qua torcularis aqua, quando ſu-<lb/>bere innatante canalis non amplius influit: </s> <s xml:id="echoid-s744" xml:space="preserve">ex torculari vero feratur tu-<lb/>bus in fundum crateris H N: </s> <s xml:id="echoid-s745" xml:space="preserve">cum igitur pleno exiſtente cratere hauſerit <lb/>quis aquam, ſimul & </s> <s xml:id="echoid-s746" xml:space="preserve">eam, quæ eſt in H G torculari evacuabit: </s> <s xml:id="echoid-s747" xml:space="preserve">deſcen-<lb/>denſque ſuber canalem aperiet: </s> <s xml:id="echoid-s748" xml:space="preserve">& </s> <s xml:id="echoid-s749" xml:space="preserve">influens in torcular, & </s> <s xml:id="echoid-s750" xml:space="preserve">craterem aqua <lb/>efferet, & </s> <s xml:id="echoid-s751" xml:space="preserve">extollet ſuber, ita ut rurſus non amplius influat: </s> <s xml:id="echoid-s752" xml:space="preserve">atque hoc <lb/>toties fiet, quoties quis ex cratere aquam abftulerit.</s> <s xml:id="echoid-s753" xml:space="preserve"/> </p> <div xml:id="echoid-div40" type="float" level="2" n="1"> <figure xlink:label="fig-0039-01" xlink:href="fig-0039-01a"> <image file="0039-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0039-01"/> </figure> </div> <pb o="34" file="0040" n="40" rhead="HERONIS"/> </div> <div xml:id="echoid-div42" type="section" level="1" n="28"> <head xml:id="echoid-head34" xml:space="preserve">XXI</head> <p> <s xml:id="echoid-s754" xml:space="preserve">In ſpondea, hoc eſt in vaſa ſacrificii injecto quinque <lb/>drachmarum numiſmate, aqua ad inſpergendum effluit.</s> <s xml:id="echoid-s755" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s756" xml:space="preserve">Sit ſpondeum, ſive theſaurus <lb/> <anchor type="figure" xlink:label="fig-0040-01a" xlink:href="fig-0040-01"/> A B C D, cujus ofculum A ſit <lb/>detectum: </s> <s xml:id="echoid-s757" xml:space="preserve">& </s> <s xml:id="echoid-s758" xml:space="preserve">in theſauro ſit vas <lb/>F G H K habens aquam, & </s> <s xml:id="echoid-s759" xml:space="preserve"><lb/>pyxidem L, ex qua canalis L M <lb/>extra feratur: </s> <s xml:id="echoid-s760" xml:space="preserve">vaſi autem appo-<lb/>natur regula recta NX, circa <lb/>quam alia regula aptetur O P, <lb/>habens ad O platyſmation R pa-<lb/>rallelum fundo vaſis: </s> <s xml:id="echoid-s761" xml:space="preserve">& </s> <s xml:id="echoid-s762" xml:space="preserve">juxta <lb/>P ad S habens operculum pyxidi <lb/>L congruens, ita ut aqua per <lb/>canalem L M non fluat: </s> <s xml:id="echoid-s763" xml:space="preserve">ſit au-<lb/>tem pyxidis operculum gravius <lb/>platyſmatio R: </s> <s xml:id="echoid-s764" xml:space="preserve">& </s> <s xml:id="echoid-s765" xml:space="preserve">utriſque vi-<lb/>delicet numiſmate, & </s> <s xml:id="echoid-s766" xml:space="preserve">platy-<lb/>ſmatio ipſo levius. </s> <s xml:id="echoid-s767" xml:space="preserve">Cum igitur <lb/>per oſculum A numiſma injicia-<lb/>tur, incidet in platyſmation R: <lb/></s> <s xml:id="echoid-s768" xml:space="preserve">& </s> <s xml:id="echoid-s769" xml:space="preserve">deprimens regulam O P incli-<lb/>nabit, extollet autem pyxidis <lb/>operculum, ita ut aqua fluat: </s> <s xml:id="echoid-s770" xml:space="preserve">poſtea excidente numiſmate rurſus oper-<lb/>culum pyxidem obſtruet, ut non amplius fluat aqua.</s> <s xml:id="echoid-s771" xml:space="preserve"/> </p> <div xml:id="echoid-div42" type="float" level="2" n="1"> <figure xlink:label="fig-0040-01" xlink:href="fig-0040-01a"> <image file="0040-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0040-01"/> </figure> </div> <pb o="35" file="0041" n="41" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div44" type="section" level="1" n="29"> <head xml:id="echoid-head35" xml:space="preserve">XXII.</head> <p> <s xml:id="echoid-s772" xml:space="preserve">In vas multis humorum generibus per idem oſculum in-<lb/>jectis, ſeorſum unumquodque per eundem canalem deſlue-<lb/>re, quodcumque elegerimus.</s> <s xml:id="echoid-s773" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s774" xml:space="preserve">Sit aliquod vas AB, <lb/> <anchor type="figure" xlink:label="fig-0041-01a" xlink:href="fig-0041-01"/> collum habens obſtru-<lb/>ctum diaphragmate <lb/>C D: </s> <s xml:id="echoid-s775" xml:space="preserve">habeat etiam dia-<lb/>phragmata recta, & </s> <s xml:id="echoid-s776" xml:space="preserve">ex-<lb/>tenſa uſque ad ipſum <lb/>diaphragma C D, quæ <lb/>faciant tot loca, quot <lb/>humores injicere veli-<lb/>mus: </s> <s xml:id="echoid-s777" xml:space="preserve">ſint autemin præ-<lb/>ſentia duo, videlicet <lb/>FE: </s> <s xml:id="echoid-s778" xml:space="preserve">& </s> <s xml:id="echoid-s779" xml:space="preserve">in diaphragmate <lb/>C D ſint foramina te-<lb/>nuia tamquam cribri, <lb/>tendentia in utrumque <lb/>locum, ſub diaphragma-<lb/>te vero ſint ſpiracula <lb/>G H, quæin loca defe-<lb/>rant: </s> <s xml:id="echoid-s780" xml:space="preserve">& </s> <s xml:id="echoid-s781" xml:space="preserve">in fundo tubuli <lb/>K L ſimul cum locis perforati; </s> <s xml:id="echoid-s782" xml:space="preserve">& </s> <s xml:id="echoid-s783" xml:space="preserve">deferentes in unum communem cana-<lb/>lem M. </s> <s xml:id="echoid-s784" xml:space="preserve">Siigitur comprehendentes ſpiracula G H, & </s> <s xml:id="echoid-s785" xml:space="preserve">canalem M, infun-<lb/>damus per oſculum unum aliquem ex humoribus, in nullum ingredietur <lb/>locum, propterea quod aër, qui eſt in ipſis egreſſum non habeat. </s> <s xml:id="echoid-s786" xml:space="preserve">Si vero <lb/>unum ex ſpiraculis dimittamus, humor in eum locum feretur, cujus eſt <lb/>& </s> <s xml:id="echoid-s787" xml:space="preserve">ſpiraculum. </s> <s xml:id="echoid-s788" xml:space="preserve">Poſtea rurſus comprehenſo ſpiraculo, quando alteruw<unsure/> hu-<lb/>morem infundamus, & </s> <s xml:id="echoid-s789" xml:space="preserve">dimittamus alterum ſpiraculum, rurſus in alte-<lb/>rum locum humor deferetur: </s> <s xml:id="echoid-s790" xml:space="preserve">itaque ſpiracula omnia comprehendentes ſi-<lb/>mul cum foraminibus, quæ ſunt in cribro, quamquam canalem M dimit-<lb/>tamus, nihil tamen effluet, niſi dimittatur alterum ſpiraculum. </s> <s xml:id="echoid-s791" xml:space="preserve">Tunc <lb/>enim aëre aditum habente fluet humor, qui in eo loco continetur: </s> <s xml:id="echoid-s792" xml:space="preserve">com-<lb/>prehenſo autem ſpiraculo, & </s> <s xml:id="echoid-s793" xml:space="preserve">altero dimiſſo, rurſus idem continget.</s> <s xml:id="echoid-s794" xml:space="preserve"/> </p> <div xml:id="echoid-div44" type="float" level="2" n="1"> <figure xlink:label="fig-0041-01" xlink:href="fig-0041-01a"> <image file="0041-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0041-01"/> </figure> </div> <pb o="36" file="0042" n="42" rhead="HERONIS"/> </div> <div xml:id="echoid-div46" type="section" level="1" n="30"> <head xml:id="echoid-head36" xml:space="preserve">XXIII.</head> <p> <s xml:id="echoid-s795" xml:space="preserve">Duobus vaſis in quadam baſi exiſtentibus, & </s> <s xml:id="echoid-s796" xml:space="preserve">uno quidem <lb/>eorum repleto vino, altero autem vacuo, quantum in va-<lb/>cuum aquæ infundamus, tantum vini ex altero fluet: </s> <s xml:id="echoid-s797" xml:space="preserve">con-<lb/>ſtruitur autem hoc modo.</s> <s xml:id="echoid-s798" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s799" xml:space="preserve">Sintin quadam baſi <lb/> <anchor type="figure" xlink:label="fig-0042-01a" xlink:href="fig-0042-01"/> A B duo vaſa C D EF, <lb/>quæ oſcula obſtructa <lb/>liabeant diaphragmati-<lb/>bus GHKL: </s> <s xml:id="echoid-s800" xml:space="preserve">tubus au-<lb/>tem MNXO impella-<lb/>tur per baſim, & </s> <s xml:id="echoid-s801" xml:space="preserve">in vaſa <lb/>reflectatur, à diaphra-<lb/>gmatibus parum diſtans <lb/>ſecundum M O: </s> <s xml:id="echoid-s802" xml:space="preserve">& </s> <s xml:id="echoid-s803" xml:space="preserve">in <lb/>vaſe quidem E F ſit in-<lb/>flexus ſiphon PRS, cur-<lb/>vitatem habens ad oſ-<lb/>culum vaſis: </s> <s xml:id="echoid-s804" xml:space="preserve">& </s> <s xml:id="echoid-s805" xml:space="preserve">alterum <lb/>ipſius crus extra feratur <lb/>in canalem conforma-<lb/>tus: </s> <s xml:id="echoid-s806" xml:space="preserve">per diaphragma <lb/>vero G H dimittatur <lb/>infundibulum TY, cu-<lb/>jus caulis coarctetur <lb/>diaphragmati, & </s> <s xml:id="echoid-s807" xml:space="preserve">pa-<lb/>rum à fundo diſtet: </s> <s xml:id="echoid-s808" xml:space="preserve">infundatur igitur vinum in vas E F per aliquod fora-<lb/>men V, quod rurſus poſt infuſionem obturetur. </s> <s xml:id="echoid-s809" xml:space="preserve">Itaque ſi per infundibu-<lb/>lum in vas C D aquam injiciamus, continget aërem, qui eſt in ipſo ex-<lb/>pulſum procedere in vas E F per tubum M N, X O: </s> <s xml:id="echoid-s810" xml:space="preserve">& </s> <s xml:id="echoid-s811" xml:space="preserve">obid vinum, quod <lb/>in eo vaſe continetur, extrudere. </s> <s xml:id="echoid-s812" xml:space="preserve">Atque hoc erit toties, quoties aquam in-<lb/>fundamus, & </s> <s xml:id="echoid-s813" xml:space="preserve">manifeſtum eſt expulſum aërem eandem, quam infuſa aqua <lb/>molem habere: </s> <s xml:id="echoid-s814" xml:space="preserve">& </s> <s xml:id="echoid-s815" xml:space="preserve">tantumdem etiam vini extrudere. </s> <s xml:id="echoid-s816" xml:space="preserve">Quod ſi non adſit <lb/>inflexus ſiphon, ſed ſolum canalis ad S, poteſt idem fieri, niſi aquæ violen-<lb/>tia canalem pervincat.</s> <s xml:id="echoid-s817" xml:space="preserve"/> </p> <div xml:id="echoid-div46" type="float" level="2" n="1"> <figure xlink:label="fig-0042-01" xlink:href="fig-0042-01a"> <image file="0042-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0042-01"/> </figure> </div> <pb o="37" file="0043" n="43" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div48" type="section" level="1" n="31"> <head xml:id="echoid-head37" xml:space="preserve">XXIV.</head> <p> <s xml:id="echoid-s818" xml:space="preserve">Tubum conſtituere, à quo fluat aqua & </s> <s xml:id="echoid-s819" xml:space="preserve">vinum in qua-<lb/>cumque voluerimus proportione.</s> <s xml:id="echoid-s820" xml:space="preserve"/> </p> <figure> <image file="0043-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0043-01"/> </figure> <p> <s xml:id="echoid-s821" xml:space="preserve">Sit autem aqua vini dupla: </s> <s xml:id="echoid-s822" xml:space="preserve">& </s> <s xml:id="echoid-s823" xml:space="preserve">ſit vacuum vas A B, ſive cylindricum, <lb/>ſive ſolidum parallelepipedum orthogonium, cui aliud vas apponatur un-<lb/>dique præcluſum, & </s> <s xml:id="echoid-s824" xml:space="preserve">in eadem baſi poſitum C D, ſive ſimiliter cylindri-<lb/>cum, ſive ſolidum parallelepipedum orthogonium & </s> <s xml:id="echoid-s825" xml:space="preserve">baſis ipſius A B du-<lb/>pla ſit baſis C D; </s> <s xml:id="echoid-s826" xml:space="preserve">quoniam volumus aquam vini duplam eſſe. </s> <s xml:id="echoid-s827" xml:space="preserve">Huic autem <lb/>apponatur aliud vas præcluſum EF, in quod vinum infunditur: </s> <s xml:id="echoid-s828" xml:space="preserve">& </s> <s xml:id="echoid-s829" xml:space="preserve">per utra-<lb/>que C D, E F ſit tubus G H K, ſimul cum diaphragmatibus ipſorum per-<lb/>foratus, & </s> <s xml:id="echoid-s830" xml:space="preserve">coarctatus: </s> <s xml:id="echoid-s831" xml:space="preserve">vas autem E F habeat inflexum tubum L M N, <lb/>cujus interius quidem crus diſtet à fundo vaſis, quantum ad humidi fluxum <lb/>ſatis ſit: </s> <s xml:id="echoid-s832" xml:space="preserve">alterum vero intra inflectatur, & </s> <s xml:id="echoid-s833" xml:space="preserve">procedat in aliud vas X O, ex <lb/>quotubus P R feratur peromnia vaſa, vel etiam ſuppoſitus ſub ſede vaſo-<lb/>rum locetur, ita ut deorſum in partem, quæ eſt ad fundum vaſis A B nullo <lb/>negotio feratur: </s> <s xml:id="echoid-s834" xml:space="preserve">& </s> <s xml:id="echoid-s835" xml:space="preserve">alius tubus S T ſimul perforetur cum vaſis A B, C D. <lb/></s> <s xml:id="echoid-s836" xml:space="preserve">Habeat autem & </s> <s xml:id="echoid-s837" xml:space="preserve">A B vas juxta fundum canaliculum Y: </s> <s xml:id="echoid-s838" xml:space="preserve">& </s> <s xml:id="echoid-s839" xml:space="preserve">canaliculi P R <lb/>Y inſerantur in canalem V Z clavem habentem, per quam & </s> <s xml:id="echoid-s840" xml:space="preserve">aperietur, <lb/>& </s> <s xml:id="echoid-s841" xml:space="preserve">claudetur quando voluerimus. </s> <s xml:id="echoid-s842" xml:space="preserve">His conſtructis & </s> <s xml:id="echoid-s843" xml:space="preserve">clauſo V Z canali, ſi <lb/>in A B vas aquam infundamus, ſecedet pars ipſius in vas C D, hoc eſt di-<lb/>midia per S T tubum, & </s> <s xml:id="echoid-s844" xml:space="preserve">incidens humor in vas C D æqualem ipſi aërem <lb/>extrudet per tubum G H K in vas E F: </s> <s xml:id="echoid-s845" xml:space="preserve">hic autem æquale vinum per tu-<lb/>bum L M N in vas X O extrudet. </s> <s xml:id="echoid-s846" xml:space="preserve">Cumigitur canalem V Z aperuerimus, <pb o="38" file="0044" n="44" rhead="HERONIS"/> fluet per ipſum & </s> <s xml:id="echoid-s847" xml:space="preserve">aqua in vas A B infuſa, & </s> <s xml:id="echoid-s848" xml:space="preserve">vinum ex vaſe X O per tu-<lb/>bum P R delatum: </s> <s xml:id="echoid-s849" xml:space="preserve">& </s> <s xml:id="echoid-s850" xml:space="preserve">factum erit quod proponebatur.</s> <s xml:id="echoid-s851" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s852" xml:space="preserve">Rurſus igitur vacua manebunt vaſa, quando effluente mixto aër in ipſa <lb/>per tubum P R procedet.</s> <s xml:id="echoid-s853" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div49" type="section" level="1" n="32"> <head xml:id="echoid-head38" xml:space="preserve">XXV.</head> <p> <s xml:id="echoid-s854" xml:space="preserve">Vaſe exiſtente, in quo aqua ſit; </s> <s xml:id="echoid-s855" xml:space="preserve">& </s> <s xml:id="echoid-s856" xml:space="preserve">exiſtente in eo cana-<lb/>li, in quo clavis, animali vero in aqua innatante, quantum-<lb/>cunque aquæ per canalem auſeramus, ex animali vinum af-<lb/>fluet ad datam propoſitionem dimiſſæ aquæ.</s> <s xml:id="echoid-s857" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s858" xml:space="preserve">Sit enim aquæ vas <lb/> <anchor type="figure" xlink:label="fig-0044-01a" xlink:href="fig-0044-01"/> A B, canalem habens C <lb/>occluſum: </s> <s xml:id="echoid-s859" xml:space="preserve">& </s> <s xml:id="echoid-s860" xml:space="preserve">in aqua <lb/>innatet lebetarium D, tu-<lb/>bum habens E F in ani-<lb/>mal efformatum: </s> <s xml:id="echoid-s861" xml:space="preserve">appo-<lb/>natur autem vas vinum <lb/>habens G H, in quo ſi-<lb/>phon inflexus ſit K L M, <lb/>cujus unum quidem crus <lb/>intra vas G H continea-<lb/>tur, alterum vero extra, in <lb/>tubum EF deferens. </s> <s xml:id="echoid-s862" xml:space="preserve">Ita-<lb/>que ſi per M oſculum in-<lb/>ferius vinum attrahamus, <lb/>fluet in EF tubum quouſ-<lb/>que vini ſuperficies & </s> <s xml:id="echoid-s863" xml:space="preserve">quæ eſt in vaſe G H, & </s> <s xml:id="echoid-s864" xml:space="preserve">quæ in tubo E F in una <lb/>recta linea conſtituatur. </s> <s xml:id="echoid-s865" xml:space="preserve">Sit igitur ſecundum rectam lineam N X O P, <lb/>& </s> <s xml:id="echoid-s866" xml:space="preserve">ad punctum P canaliculus R apertus ſit. </s> <s xml:id="echoid-s867" xml:space="preserve">Hucuſque quidem vinum non <lb/>fluit: </s> <s xml:id="echoid-s868" xml:space="preserve">ſed cum per canalem C quantumcumque aquæ auferamus, deſcendet <lb/>lebetarium D, cum quo & </s> <s xml:id="echoid-s869" xml:space="preserve">E F tubus, ita ut vini ſuperficies depreſſior fiat <lb/>ſuperficie N X, ac propterea cum ſiphonis pars extrinſeca depreſſior fa-<lb/>cta ſit, rurſus fluet vinum in tubum E F, & </s> <s xml:id="echoid-s870" xml:space="preserve">per canalem R extra feretur. <lb/></s> <s xml:id="echoid-s871" xml:space="preserve">Atque hoc toties erit, quoties aquam per canalem C auferamus: </s> <s xml:id="echoid-s872" xml:space="preserve">& </s> <s xml:id="echoid-s873" xml:space="preserve">tunc <lb/>ad proportionem aquæ defluentis vinum effluet: </s> <s xml:id="echoid-s874" xml:space="preserve">habeat autem vaſis A B <lb/>baſis ad baſim vaſis G H datam proportionem, & </s> <s xml:id="echoid-s875" xml:space="preserve">ita fiet, quod facien-<lb/>dum proponebatur.</s> <s xml:id="echoid-s876" xml:space="preserve"/> </p> <div xml:id="echoid-div49" type="float" level="2" n="1"> <figure xlink:label="fig-0044-01" xlink:href="fig-0044-01a"> <image file="0044-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0044-01"/> </figure> </div> <pb o="39" file="0045" n="45" rhead="SPRIRITAL. LIBER."/> </div> <div xml:id="echoid-div51" type="section" level="1" n="33"> <head xml:id="echoid-head39" xml:space="preserve">XXVI.</head> <p> <s xml:id="echoid-s877" xml:space="preserve">Si velimus infundentes aquam in aliquod vas, ad hujus <lb/>proportionem vinum effluere, ita faciemus.</s> <s xml:id="echoid-s878" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s879" xml:space="preserve">Sit enim rurſus vas <lb/> <anchor type="figure" xlink:label="fig-0045-01a" xlink:href="fig-0045-01"/> aquam habens A B, & </s> <s xml:id="echoid-s880" xml:space="preserve"><lb/>vas habens vinum G H, <lb/>tubus autem E F ſit ex-<lb/>tra vas A B: </s> <s xml:id="echoid-s881" xml:space="preserve">& </s> <s xml:id="echoid-s882" xml:space="preserve">in A B <lb/>vaſe innatet ſphærula <lb/>D, ex qua funis per tro-<lb/>chleas S T ad tubum <lb/>E F religetur, ut ipſam <lb/>ſuſpendat, aſia vero <lb/>omnia ſint eadem quæ <lb/>ſupra diximus: </s> <s xml:id="echoid-s883" xml:space="preserve">con-<lb/>tingit igitur injecta in <lb/>vas A B aqua, ſphæru-<lb/>lam D extolli, & </s> <s xml:id="echoid-s884" xml:space="preserve">ita demittere tubum E F adeo, ut rurſus vinum <lb/>effluat.</s> <s xml:id="echoid-s885" xml:space="preserve"/> </p> <div xml:id="echoid-div51" type="float" level="2" n="1"> <figure xlink:label="fig-0045-01" xlink:href="fig-0045-01a"> <image file="0045-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0045-01"/> </figure> </div> </div> <div xml:id="echoid-div53" type="section" level="1" n="34"> <head xml:id="echoid-head40" xml:space="preserve"><emph style="bf">ALITER.</emph> Poteſt autem & aliteridem effici.</head> <p> <s xml:id="echoid-s886" xml:space="preserve">Funis enim ex ſphærula D per trochleam S referatur in aliam tro-<lb/>chleam T, & </s> <s xml:id="echoid-s887" xml:space="preserve">per hanc ad K L M ſiphonem religetur. </s> <s xml:id="echoid-s888" xml:space="preserve">Continget igitur <lb/>elevata ſphærula D demitti ſiphonem K L M fune ſuſpenſum, ita ut cum <lb/>extrinſecum ſiphonis crus majus efficiatur, vinum per oſculum M effluat.</s> <s xml:id="echoid-s889" xml:space="preserve"/> </p> <pb o="40" file="0046" n="46" rhead="HERONIS"/> </div> <div xml:id="echoid-div54" type="section" level="1" n="35"> <head xml:id="echoid-head41" xml:space="preserve">XXVII.</head> <p> <s xml:id="echoid-s890" xml:space="preserve">Siphones autem, quibus utuntur ad incendia hoc modo <lb/>conſtruuntur.</s> <s xml:id="echoid-s891" xml:space="preserve"/> </p> <figure> <image file="0046-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0046-01"/> </figure> <p> <s xml:id="echoid-s892" xml:space="preserve">Sint duo modioli ærei torno expoliti ſecundum interiorem eorum ſu-<lb/>perficiem ad embolos, quemadmodum bydrauleorum modioli A B C D <lb/>E F G H: </s> <s xml:id="echoid-s893" xml:space="preserve">& </s> <s xml:id="echoid-s894" xml:space="preserve">emboli ipſis congruentes ſint K L M N: </s> <s xml:id="echoid-s895" xml:space="preserve">ſimul vero modio-<lb/>li perforentur inter ſeſe per tubum X O D F: </s> <s xml:id="echoid-s896" xml:space="preserve">& </s> <s xml:id="echoid-s897" xml:space="preserve">ex partibus exterioribus <lb/>intra X O D F tubum habeant aſſaria appoſita P R, qualia in ſuperiori-<lb/>bus dicta ſunt, ita ut in partem modiolorum exteriorem aperiantur. </s> <s xml:id="echoid-s898" xml:space="preserve">Ha-<lb/>beant etiam modioli in fundis rotunda formina S T obturata axibus expo-<lb/>litis Y Φ Q Ψ, per quos fibulæ Ω Ω traducantur agglutinatæ, vel conjunctæ <lb/>modiolorum fundis, habenteſque colymatia ex partibus extremis, ut <lb/>ne axes exipſis amplius extrahantur: </s> <s xml:id="echoid-s899" xml:space="preserve">emboli vero habeant rectas regulas <lb/>compactas in medio ς quibus jungatur regula Z α, quæ ad medium qui-<lb/>dem moveatur circa fibulam {ευ} manentem, ad regulas vero ς moventur <pb o="41" file="0047" n="47" rhead="SPIRITAL. LIBER."/> circa fibulam {ευ} manentem, ad regulas vero ς moventur circa fibulas β γ. <lb/></s> <s xml:id="echoid-s900" xml:space="preserve">At ſimul cum tubo X O D F perforatur alius tubus rectus ε ζ in bifidum <lb/>ſciſſus ad ζ: </s> <s xml:id="echoid-s901" xml:space="preserve">& </s> <s xml:id="echoid-s902" xml:space="preserve">habens ſmeriſmatia, per quæ humidum exprimit, qualia <lb/>& </s> <s xml:id="echoid-s903" xml:space="preserve">ante dicta ſunt in vaſe potui aquam exhibente, per aërem in ipſo com-<lb/>preſſum, ſi igitur dicti modioli una cum aliis, quæ conſtructa ſunt, in vas <lb/>aquæ θ χ λ μ injiciantur: </s> <s xml:id="echoid-s904" xml:space="preserve">& </s> <s xml:id="echoid-s905" xml:space="preserve">aptetur regula Z α, ex ejus partibus extremis <lb/>circa fibulam {ευ} viciſſim motis, emboli deſcendentes per tubum ε ζ, & </s> <s xml:id="echoid-s906" xml:space="preserve">per <lb/>oſculum verſatile χ humidum exprimunt: </s> <s xml:id="echoid-s907" xml:space="preserve">embolus enim K L aſcendens <lb/>aperit quidem foramen S elevato Q Ψ axe, occludit vero aſſarium P, <lb/>& </s> <s xml:id="echoid-s908" xml:space="preserve">deſcendens occludit S foramen, & </s> <s xml:id="echoid-s909" xml:space="preserve">ipſum P aperit, per quod aqua eliſa <lb/>exprimitur. </s> <s xml:id="echoid-s910" xml:space="preserve">Eadem contingunt & </s> <s xml:id="echoid-s911" xml:space="preserve">circa embolum M N: </s> <s xml:id="echoid-s912" xml:space="preserve">tubulus igitur χ <lb/>abnuens, & </s> <s xml:id="echoid-s913" xml:space="preserve">annuens ad datam altitudinem aquam expuit, non tamen ad <lb/>datam converſionem, niſi & </s> <s xml:id="echoid-s914" xml:space="preserve">totum inſtrumentum convertatur. </s> <s xml:id="echoid-s915" xml:space="preserve">Hoc au-<lb/>tem & </s> <s xml:id="echoid-s916" xml:space="preserve">tardum eſt & </s> <s xml:id="echoid-s917" xml:space="preserve">moleſtum ad urgentes neceſſitates: </s> <s xml:id="echoid-s918" xml:space="preserve">ſed ut facile ad <lb/>datum locum humor expuatur, faciemus tubum E ζ ſecundum longitudi-<lb/>nem ex duobus inter ſe coaptatis conſtantem, quorum unus tubo X O D F <lb/>conjunctus ſit, alter autem bifido, quod eſt ad ζ: </s> <s xml:id="echoid-s919" xml:space="preserve">etenim converſo ſupe-<lb/>riori tubo, & </s> <s xml:id="echoid-s920" xml:space="preserve">annuente tubulo χ, expreſſio fit ad quemcumque volueri-<lb/>mus locum: </s> <s xml:id="echoid-s921" xml:space="preserve">& </s> <s xml:id="echoid-s922" xml:space="preserve">habebit deſuper coaptatus tubus colymatia, ne ob aquæ <lb/>violentiam ex inſtrumento excidere cogatur: </s> <s xml:id="echoid-s923" xml:space="preserve">hæc autem erunt ad ſimili-<lb/>tudinem litteræ Γ ipſi conglutinata, & </s> <s xml:id="echoid-s924" xml:space="preserve">converſa circa annulum inferiori <lb/>tubo circumpoſitum.</s> <s xml:id="echoid-s925" xml:space="preserve"/> </p> <pb o="42" file="0048" n="48" rhead="HERONIS"/> </div> <div xml:id="echoid-div55" type="section" level="1" n="36"> <head xml:id="echoid-head42" xml:space="preserve">XXVIII.</head> <p> <s xml:id="echoid-s926" xml:space="preserve">In aliquo loco aquæ fluxionem habente conſtruitur ani-<lb/>mal ſive ex ære, ſive ex alia aliqua materia, quod oblato <lb/>ipſi poculo bibit cum ſtrepitu & </s> <s xml:id="echoid-s927" xml:space="preserve">clamore, ut ſitire videatur: <lb/></s> <s xml:id="echoid-s928" xml:space="preserve">eſt autem conſtructio talis.</s> <s xml:id="echoid-s929" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s930" xml:space="preserve">Sit vas A B, in quod in-<lb/> <anchor type="figure" xlink:label="fig-0048-01a" xlink:href="fig-0048-01"/> fluit canaliculus C: </s> <s xml:id="echoid-s931" xml:space="preserve">& </s> <s xml:id="echoid-s932" xml:space="preserve">in eo <lb/>ſit inflexus ſiphon, ſive ſpi-<lb/>ritalis diabetes D E F, cu-<lb/>jus alterum crus extra vaſis <lb/>fundum excedat: </s> <s xml:id="echoid-s933" xml:space="preserve">ipſi vero <lb/>ſubjiciatur baſis præcluſa <lb/>G H K L, habens & </s> <s xml:id="echoid-s934" xml:space="preserve">ipſa in-<lb/>flexum ſiphonem M N X: <lb/></s> <s xml:id="echoid-s935" xml:space="preserve">& </s> <s xml:id="echoid-s936" xml:space="preserve">oſculo F ſubjiciatur O P <lb/>infundibulum, cujus caulis <lb/>feratur in baſim G H K L, <lb/>tantum diſtans à fundo, quan-<lb/>tum ad aquæ fluxum fuffi-<lb/>ciat. </s> <s xml:id="echoid-s937" xml:space="preserve">Animalis autem oſcu-<lb/>lum ſit ad R, ubitubus pona-<lb/>tur, per unum pedem, vel per <lb/>aliam aliquam animalis par-<lb/>tem occulte in baſim dela-<lb/>tus, qui ſit R S T: </s> <s xml:id="echoid-s938" xml:space="preserve">contin-<lb/>get igitur repleto A B vaſe <lb/>humorem ſuperfluentem in O P infundibulum ferri: </s> <s xml:id="echoid-s939" xml:space="preserve">& </s> <s xml:id="echoid-s940" xml:space="preserve">impleri baſim <lb/>GHKL, ipſumque AB vas exinaniri. </s> <s xml:id="echoid-s941" xml:space="preserve">Rurſus autem repleta baſi ſuper-<lb/>fluens humor per ſiphonem M N X baſim exinaniet: </s> <s xml:id="echoid-s942" xml:space="preserve">dumque ea exinani-<lb/>tur, aër per oſculum R exinanitum replebit locum. </s> <s xml:id="echoid-s943" xml:space="preserve">Quando igitur ipſi <lb/>R poculum offeramus, abſorbetur vi attractus humor pro aëre quouſque <lb/>baſis exinanita fuerit. </s> <s xml:id="echoid-s944" xml:space="preserve">Et ita rurſus vas A B repletum exinanitur; </s> <s xml:id="echoid-s945" xml:space="preserve">& </s> <s xml:id="echoid-s946" xml:space="preserve">ſe-<lb/>quuntur eadem, quæ dicta ſunt: </s> <s xml:id="echoid-s947" xml:space="preserve">ut autem tempore opportuno, hoc eſt <lb/>dum baſis exinanitur, poculum offeramus, ſit aliquod motum ab effluxione, <lb/>quæ fit per ſiphonem M N X, aqua ſcilicet in ipſum incidente: </s> <s xml:id="echoid-s948" xml:space="preserve">in quod <lb/>reſpicientes, cum movebitur, tunc poculum offeremus.</s> <s xml:id="echoid-s949" xml:space="preserve"/> </p> <div xml:id="echoid-div55" type="float" level="2" n="1"> <figure xlink:label="fig-0048-01" xlink:href="fig-0048-01a"> <image file="0048-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0048-01"/> </figure> </div> <pb o="43" file="0049" n="49" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div57" type="section" level="1" n="37"> <head xml:id="echoid-head43" xml:space="preserve">XXIX.</head> <p> <s xml:id="echoid-s950" xml:space="preserve">Eſt autem & </s> <s xml:id="echoid-s951" xml:space="preserve">aliter exiſtentc aquæ influxione, & </s> <s xml:id="echoid-s952" xml:space="preserve">paniſco <lb/>averſo, bibere ipſum animal.</s> <s xml:id="echoid-s953" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s954" xml:space="preserve">Sit enim baſis undique <lb/> <anchor type="figure" xlink:label="fig-0049-01a" xlink:href="fig-0049-01"/> præcluſa A B C D, dia-<lb/>phragma habens ſecun-<lb/>dum medium: </s> <s xml:id="echoid-s955" xml:space="preserve">in ſede ve-<lb/>ro inſiſtat animal, & </s> <s xml:id="echoid-s956" xml:space="preserve">tubus <lb/>per os ipſius ſit E F G: <lb/></s> <s xml:id="echoid-s957" xml:space="preserve">habeatque baſis infle-<lb/>xum ſiphonem H K L in <lb/>loco inferiori, cujus u-<lb/>num crus extra fundum <lb/>excedat: </s> <s xml:id="echoid-s958" xml:space="preserve">per medium ve-<lb/>ro diaphragma ſit M N <lb/>infundibulum, cujus cau-<lb/>lis à fundo parum diſtet: </s> <s xml:id="echoid-s959" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s960" xml:space="preserve">baſi A B C D impo-<lb/>natur altera baſis X O, <lb/>in qua paniſcus P R inſi-<lb/>deat, habens axonion S, <lb/>in partem baſis inferio-<lb/>rem excedens, cui tubus <lb/>T Y conjungatur, qui <lb/>habeat in extremo phia-<lb/>lulam Y V ſibi ipſi con-<lb/>junctam, & </s> <s xml:id="echoid-s961" xml:space="preserve">ſimul perforatam. </s> <s xml:id="echoid-s962" xml:space="preserve">Sit autem tantus TY tubus, ut averſo pa-<lb/>niſco phialula Y V ponatur è regione infundibuli M N paulo ſupra: </s> <s xml:id="echoid-s963" xml:space="preserve">& </s> <s xml:id="echoid-s964" xml:space="preserve">in <lb/>baſi ſit phialula Q Z è regione infundibuli M N, ſimul cum ipſa baſi per-<lb/>forata, in quam feratur aquæ influxio Ω tanta, ut major ſit effluxione, quæ <lb/>fit per ſiphonem H K L: </s> <s xml:id="echoid-s965" xml:space="preserve">feretur igitur prædicta aqua per infundibulum <lb/>M N in partem inferiorem baſis A B C D, aëre, qui in ipſa continetur, <lb/>per tubum E F G recedente, & </s> <s xml:id="echoid-s966" xml:space="preserve">baſis ſemper erit plena humido, propter-<lb/>ea quod influxio effluxione major ſit. </s> <s xml:id="echoid-s967" xml:space="preserve">Quando igitur paniſcum averta-<lb/>mus, phialula Y V è regione infundibuli facta influxionem Ω excipit, <lb/>quæ quidem per tubum T Y in alium ſecedit locum. </s> <s xml:id="echoid-s968" xml:space="preserve">Itaque humido non <lb/>amplius influente in partem inferio rem baſis A B C D ſiphon HKL ipſam <lb/>exinaniet, aëre per tubum E F G abeunte. </s> <s xml:id="echoid-s969" xml:space="preserve">Quare animal oblato poculo <lb/>rurſus bibit.</s> <s xml:id="echoid-s970" xml:space="preserve"/> </p> <div xml:id="echoid-div57" type="float" level="2" n="1"> <figure xlink:label="fig-0049-01" xlink:href="fig-0049-01a"> <image file="0049-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0049-01"/> </figure> </div> <pb o="44" file="0050" n="50" rhead="HERONIS"/> </div> <div xml:id="echoid-div59" type="section" level="1" n="38"> <head xml:id="echoid-head44" xml:space="preserve">XXX.</head> <p> <s xml:id="echoid-s971" xml:space="preserve">Poteſt etiam aliter bibere animal, neque influente aqua, <lb/>neque alio quopiam paniſcum movente.</s> <s xml:id="echoid-s972" xml:space="preserve"/> </p> <figure> <image file="0050-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0050-01"/> </figure> <p> <s xml:id="echoid-s973" xml:space="preserve">Sit enim baſis ABCD, animalis autem oſculum ſit ad E; </s> <s xml:id="echoid-s974" xml:space="preserve">& </s> <s xml:id="echoid-s975" xml:space="preserve">per pectus <lb/>animalis, & </s> <s xml:id="echoid-s976" xml:space="preserve">poſteriorem pedem, vel caudam ab oſculo E impellatur tu-<lb/>bus E F G in partes interiores baſis delatus: </s> <s xml:id="echoid-s977" xml:space="preserve">& </s> <s xml:id="echoid-s978" xml:space="preserve">poſita baſi immobili, tu-<lb/>bus E F G, qui per animal tranſit perforetur tenui, & </s> <s xml:id="echoid-s979" xml:space="preserve">vix apparente fora-<lb/>mine H: </s> <s xml:id="echoid-s980" xml:space="preserve">ſiquis igitur tubum E F G aqua impleat per aliquem tubum ſubli-<lb/>mem, cujus extremum apponatur ipſi H, manebit tubus E F G aqua ple-<lb/>nus, quod ipſius oſcula ex æquo jaceant: </s> <s xml:id="echoid-s981" xml:space="preserve">& </s> <s xml:id="echoid-s982" xml:space="preserve">cum ori poculum admove-<lb/>amus, atque aliquam ipſius partem demergamus, continget tubi E F G <lb/>membrum quod eſt ad G majus fieri, & </s> <s xml:id="echoid-s983" xml:space="preserve">ob id humidum attrahere, hoc <lb/>autem in baſim A B C D deferetur, quare nulla eſt neceſſitas in hac con-<lb/>ſtructione baſim præcluſam eſſe.</s> <s xml:id="echoid-s984" xml:space="preserve"/> </p> <pb o="45" file="0051" n="51" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div60" type="section" level="1" n="39"> <head xml:id="echoid-head45" xml:space="preserve">XXXI.</head> <p> <s xml:id="echoid-s985" xml:space="preserve">In ſacris Ægyptiorum ad porticus rotæ æreæ verſatiles <lb/>fiunt; </s> <s xml:id="echoid-s986" xml:space="preserve">ut qui ingrediuntur ipſas convertant, propterea quod <lb/>æs purgare videatur. </s> <s xml:id="echoid-s987" xml:space="preserve">Sunt autem & </s> <s xml:id="echoid-s988" xml:space="preserve">vaſa ad inſperſionem, ut <lb/>ingredientes aſpergantur: </s> <s xml:id="echoid-s989" xml:space="preserve">Oporteat igitur facere, ut con-<lb/>verſa rota aqua ex ipſa fluat ad inſperſionem, ut dictum eſt.</s> <s xml:id="echoid-s990" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s991" xml:space="preserve">Sit poſt porticum vas aquæ <lb/> <anchor type="figure" xlink:label="fig-0051-01a" xlink:href="fig-0051-01"/> occultum A B C D, perfora-<lb/>tum in fundo foramine E: </s> <s xml:id="echoid-s992" xml:space="preserve">& </s> <s xml:id="echoid-s993" xml:space="preserve"><lb/>ſub fundum conglutinetur fi-<lb/>ſtula FGHK, habens & </s> <s xml:id="echoid-s994" xml:space="preserve">ipſa <lb/>foramen è regione ejus, quod <lb/>eſt in fundo, intra quam fit <lb/>alia fiſtula L M, ad L ipſi <lb/>F G H K agglutinata, habens <lb/>è regione E foramen P, inter <lb/>dictas vero duas fiſtulas alia <lb/>aptetur N X O R, ita ut u-<lb/>tramque contingat, & </s> <s xml:id="echoid-s995" xml:space="preserve">habeat <lb/>foramen S è regione ipſius E. <lb/></s> <s xml:id="echoid-s996" xml:space="preserve">Cum igitur dicta foramina ſi-<lb/>bi ipſis reſpondeant, ſiquis a-<lb/>quam in vas ABCD inſundat, <lb/>extra fluet per ſiſtulam LM. </s> <s xml:id="echoid-s997" xml:space="preserve">Si <lb/>vero convertamus fiſtulam N X O R, ita ut foramen S permutetur, non <lb/>amplius fluet. </s> <s xml:id="echoid-s998" xml:space="preserve">Itaque fiat rota fiſtulæ N X O R conjuncta: </s> <s xml:id="echoid-s999" xml:space="preserve">ergo ipſa <lb/>converſa ſæpius aqua effluet.</s> <s xml:id="echoid-s1000" xml:space="preserve"/> </p> <div xml:id="echoid-div60" type="float" level="2" n="1"> <figure xlink:label="fig-0051-01" xlink:href="fig-0051-01a"> <image file="0051-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0051-01"/> </figure> </div> <pb o="46" file="0052" n="52" rhead="HERONIS"/> </div> <div xml:id="echoid-div62" type="section" level="1" n="40"> <head xml:id="echoid-head46" xml:space="preserve">XXXII.</head> <p> <s xml:id="echoid-s1001" xml:space="preserve">Vaſe uno exiſtente injicere per os ipſius plura vini genera, <lb/>& </s> <s xml:id="echoid-s1002" xml:space="preserve">per eundem canalem ſumere unumquodque ipſorum, <lb/>quod quis elegerit, ita ut pluribus vina injicientibus, unuſ-<lb/>quiſque proprium ſumat, & </s> <s xml:id="echoid-s1003" xml:space="preserve">ſigillatim tantum, quantum ab <lb/>ipſo injectum fuerit.</s> <s xml:id="echoid-s1004" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1005" xml:space="preserve">Sit vas præcluſum <lb/> <anchor type="figure" xlink:label="fig-0052-01a" xlink:href="fig-0052-01"/> A B C D, collum in-<lb/>terſeptum habens dia-<lb/>phragmate E F: </s> <s xml:id="echoid-s1006" xml:space="preserve">& </s> <s xml:id="echoid-s1007" xml:space="preserve">in-<lb/>terſepiatur totum vas <lb/>in tot loca, quot volu-<lb/>erimus vina eſſe: </s> <s xml:id="echoid-s1008" xml:space="preserve">ſint-<lb/>que diaphragmata GH <lb/>K L, ut tria loca fiant <lb/>MNX, in quæ vinum <lb/>injiciatur, perforetur <lb/>autem diaphragma EF <lb/>fecundum unumquem-<lb/>que locum minutis fo-<lb/>raminibus, & </s> <s xml:id="echoid-s1009" xml:space="preserve">ſintfo-<lb/>ramina O P R, ex qui-<lb/>bus erigantur tubuli <lb/>PS, OT, RY in vaſis <lb/>collum, ſimul cum <lb/>ipſo perforati, & </s> <s xml:id="echoid-s1010" xml:space="preserve">juxta <lb/>unumquemque tubu-<lb/>lum ſint foramina mi-<lb/>nuta in diaphragmate <lb/>EF inſtar cribri, per quæ humidum in propria loca deferatur. </s> <s xml:id="echoid-s1011" xml:space="preserve">Quando igi-<lb/>tur volumus infundere unumquodque vinum, comprehendemus digitis ſpi-<lb/>racula STY: </s> <s xml:id="echoid-s1012" xml:space="preserve">& </s> <s xml:id="echoid-s1013" xml:space="preserve">per collum Φ vinum infundemus, hoc autem in nullum lo-<lb/>cum procedet, quod aër, qui in locis continetur, non habet egreſſum, ſed <lb/>cum remiſerimus unum ſpiraculorum STY, aër qui in eo loco eſt per cri-<lb/>brum excedet, vino in locum incidente. </s> <s xml:id="echoid-s1014" xml:space="preserve">Rurſus ſpiraculum comprehenden-<lb/>tes, aliud ſimiliter remittemus, & </s> <s xml:id="echoid-s1015" xml:space="preserve">alterum injiciemus vinum, poſtea dein- <pb o="47" file="0053" n="53" rhead="SPIRITAL. LIBER."/> ceps reliqua, quotcumque vina fuerint; </s> <s xml:id="echoid-s1016" xml:space="preserve">& </s> <s xml:id="echoid-s1017" xml:space="preserve">loci numero æquales in vaſe <lb/>A B C D. </s> <s xml:id="echoid-s1018" xml:space="preserve">Excipiemus autem unumquodque ipſorum ſigillatim per eun-<lb/>dem canalem hoc modo. </s> <s xml:id="echoid-s1019" xml:space="preserve">In fundo vaſis A B C D ex ſingulis locis ſinguli <lb/>procedant tubi, exloco quidem M tubus Q Ψ, ex N vero tubus Ω Z, & </s> <s xml:id="echoid-s1020" xml:space="preserve"><lb/>ex X tubus V I, quorum extrema Ψ Z I ſimul perforentur cum alio tubo <lb/>Ψ Z I α. </s> <s xml:id="echoid-s1021" xml:space="preserve">Rurſus alius tubus β γ intraipſum Ψ Z I α diligenter aptetur, ob-<lb/>turatus ad interiorem partem γ, habenſque foramina è regioneoſculorum <lb/>Ψ Z I, ita ut converſo tubo β γ foramina ad unumquodque ipſorum ad-<lb/>ducta excipiant vinum, quodin ſingulis ipſorum continetur; </s> <s xml:id="echoid-s1022" xml:space="preserve">& </s> <s xml:id="echoid-s1023" xml:space="preserve">per oſcu-<lb/>lum exterius tubi β γ extra effundant, tubo autem β γ conjunctus ſit fer-<lb/>reus obeliſcus {δι}<unsure/> ε & </s> <s xml:id="echoid-s1024" xml:space="preserve">ad partem quidem ε ex plumbo agglutinatur pondus η; <lb/></s> <s xml:id="echoid-s1025" xml:space="preserve">ad {δι}<unsure/> vero fibula ferrea {δι}<unsure/> ς, habens in medio phialulam agglutinatam ς cu-<lb/>jus concava ad ſuperiora ſpectent. </s> <s xml:id="echoid-s1026" xml:space="preserve">Sit autem & </s> <s xml:id="echoid-s1027" xml:space="preserve">conus colurus concavus, <lb/>cujus major circulus ζ, & </s> <s xml:id="echoid-s1028" xml:space="preserve">minor θ, per quem & </s> <s xml:id="echoid-s1029" xml:space="preserve">fibula {δι}<unsure/> σ τ procedat. </s> <s xml:id="echoid-s1030" xml:space="preserve">Fiant <lb/>etiam ſphærulæ plumbeæ inæquales, quæ tot numero ſint, quot & </s> <s xml:id="echoid-s1031" xml:space="preserve">loci <lb/>MNX: </s> <s xml:id="echoid-s1032" xml:space="preserve">ſi igitur minorem ſphærulam imponamus phialulæ ζ θ, cum ſit gra-<lb/>vis ad inſeriorem partem ferretur; </s> <s xml:id="echoid-s1033" xml:space="preserve">quouſque coni coluri ſuperficiem con-<lb/>cavam contingat, & </s> <s xml:id="echoid-s1034" xml:space="preserve">convertat tubum β γ, ita ut foramen quod eſt in ipſo <lb/>fiat è regione Ψ, & </s> <s xml:id="echoid-s1035" xml:space="preserve">excipiat vinum in eo loco contentum. </s> <s xml:id="echoid-s1036" xml:space="preserve">Quod quidem <lb/>uſque eo fluet, quoad ſphæra phialulæ imponatur, niſi forte totum effluxe-<lb/>rit. </s> <s xml:id="echoid-s1037" xml:space="preserve">Si vero ſphæram auferamus, rurſus pondus η converſum obturabit fo-<lb/>ramen Ψ ut vinum non amplius fluat. </s> <s xml:id="echoid-s1038" xml:space="preserve">Rurſus igitur ſi aliam ſphærulam im-<lb/>ponamus, plus deorſum feretur & </s> <s xml:id="echoid-s1039" xml:space="preserve">plus convertet tubum β quouſque fora-<lb/>men in ipſo è regione Z fiat: </s> <s xml:id="echoid-s1040" xml:space="preserve">& </s> <s xml:id="echoid-s1041" xml:space="preserve">ita vinum, quod in eo loco continetur, <lb/>fluet, & </s> <s xml:id="echoid-s1042" xml:space="preserve">rurſus elevata ſphærula pondus χ deſcendens foramen Z obtura-<lb/>bit, ut non amplius fluat vinum. </s> <s xml:id="echoid-s1043" xml:space="preserve">Quod ſi alia ſphærula imponatur adhue <lb/>plus convertetur tubus β, adeo ut vinum, quod eſt in loco X effluat. </s> <s xml:id="echoid-s1044" xml:space="preserve">O-<lb/>portet autem minorem ſphærulam phialulæ impoſitam evincere pondus <lb/>χ, hoc eſt tubum β convertere: </s> <s xml:id="echoid-s1045" xml:space="preserve">ita enim evincent & </s> <s xml:id="echoid-s1046" xml:space="preserve">aliæ ſphærulæ, & </s> <s xml:id="echoid-s1047" xml:space="preserve"><lb/>tubum β convertent.</s> <s xml:id="echoid-s1048" xml:space="preserve"/> </p> <div xml:id="echoid-div62" type="float" level="2" n="1"> <figure xlink:label="fig-0052-01" xlink:href="fig-0052-01a"> <image file="0052-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0052-01"/> </figure> </div> <pb o="48" file="0054" n="54" rhead="HERONIS"/> </div> <div xml:id="echoid-div64" type="section" level="1" n="41"> <head xml:id="echoid-head47" xml:space="preserve">XXXIII.</head> <p> <s xml:id="echoid-s1049" xml:space="preserve">Lucernam ſe ipſam conſumentem conſtruere.</s> <s xml:id="echoid-s1050" xml:space="preserve"/> </p> <figure> <image file="0054-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0054-01"/> </figure> <p> <s xml:id="echoid-s1051" xml:space="preserve">Sit lucerna A B C, & </s> <s xml:id="echoid-s1052" xml:space="preserve">per os ipſius fibula ferrea impellatur DE, cir-<lb/>ca E punctum libere mota, & </s> <s xml:id="echoid-s1053" xml:space="preserve">circa fibulam ellychnium circumvolvatur, <lb/>ut facile ſolvi poſſit, aptetur autem & </s> <s xml:id="echoid-s1054" xml:space="preserve">tympanum dentatum F, quod circa <lb/>axiculum expedite moveatur, & </s> <s xml:id="echoid-s1055" xml:space="preserve">ejus dentes fibulam contingant, ita ut <lb/>ipſo converſo ellychnium per dentes impellatur, & </s> <s xml:id="echoid-s1056" xml:space="preserve">habeat lucerna umbili-<lb/>cum valde apertum, injecto autem oleo innatet lebetarium G, rectam ha-<lb/>bens regulam H ſibi ipſi conjunctam, dentatamque: </s> <s xml:id="echoid-s1057" xml:space="preserve">ac tympani dentibus <lb/>implicatam, continget igitur oleo conſumpto lebetarium deſcendere, & </s> <s xml:id="echoid-s1058" xml:space="preserve"><lb/>per regulæ dentes convertere tympanum F ita ut ellychnium impellatur.</s> <s xml:id="echoid-s1059" xml:space="preserve"/> </p> <pb o="49" file="0055" n="55" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div65" type="section" level="1" n="42"> <head xml:id="echoid-head48" xml:space="preserve">XXXIV.</head> <p> <s xml:id="echoid-s1060" xml:space="preserve">Vaſe exiſtente, & </s> <s xml:id="echoid-s1061" xml:space="preserve">canalem apertum habente juxta fun-<lb/>dum, humoreque in ipſum infuſo, interdum quidem à <lb/>principio fluet canalis, interdum vero circa medium; </s> <s xml:id="echoid-s1062" xml:space="preserve">& </s> <s xml:id="echoid-s1063" xml:space="preserve">in-<lb/>terdum toto vaſe repleto, vel & </s> <s xml:id="echoid-s1064" xml:space="preserve">generaliter quantocumque <lb/>infuſo humore fluet canalis & </s> <s xml:id="echoid-s1065" xml:space="preserve">totum humorem effundet.</s> <s xml:id="echoid-s1066" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1067" xml:space="preserve">Sit vas A B collum habens <lb/> <anchor type="figure" xlink:label="fig-0055-01a" xlink:href="fig-0055-01"/> diaphragmate interſeptum: <lb/></s> <s xml:id="echoid-s1068" xml:space="preserve">& </s> <s xml:id="echoid-s1069" xml:space="preserve">per diaphragma tubus <lb/>CD demittatur coarctatus, <lb/>& </s> <s xml:id="echoid-s1070" xml:space="preserve">tantum diſtans à fundo, <lb/>quantum ad aquæ fluxum ſuf-<lb/>ficiat. </s> <s xml:id="echoid-s1071" xml:space="preserve">Sit autem & </s> <s xml:id="echoid-s1072" xml:space="preserve">ſiphon <lb/>inflexus EFG, cujus intrinſe-<lb/>cum quidem crus diſtet à fun-<lb/>do, quantum ſatis ſit ad flu-<lb/>xum aquæ, alterum vero extra <lb/>productum in canalem con-<lb/>formetur. </s> <s xml:id="echoid-s1073" xml:space="preserve">Et ſiphonis curvi-<lb/>tas ſit juxta collum vaſis ha-<lb/>beatque vas ſpiraculum H <lb/>juxta diaphragma in ventrem <lb/>ejus deferens. </s> <s xml:id="echoid-s1074" xml:space="preserve">Si igitur veli-<lb/>mus à principio ſtatim humo-<lb/>re infuſo canalem fluere, ſpi-<lb/>raculum H digito compre-<lb/>hendemus, & </s> <s xml:id="echoid-s1075" xml:space="preserve">fluet canalis. </s> <s xml:id="echoid-s1076" xml:space="preserve"><lb/>Aëre enim, qui in vaſe conti-<lb/>netur, antiperiſtaſim non ha-<lb/>bente, humor perinflexum <lb/>ſiphonem extra errumpet. </s> <s xml:id="echoid-s1077" xml:space="preserve">Quod ſi non comprehendamus ſpiraculum <lb/>procedet humor in ventrem vaſis; </s> <s xml:id="echoid-s1078" xml:space="preserve">& </s> <s xml:id="echoid-s1079" xml:space="preserve">canalis non fluet quouſque rurſus <lb/>ſpiraculum comprehendamus. </s> <s xml:id="echoid-s1080" xml:space="preserve">Poſtea remiſſo ſpiraculo ſiphon omnem <lb/>humorem effundet.</s> <s xml:id="echoid-s1081" xml:space="preserve"/> </p> <div xml:id="echoid-div65" type="float" level="2" n="1"> <figure xlink:label="fig-0055-01" xlink:href="fig-0055-01a"> <image file="0055-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0055-01"/> </figure> </div> <pb o="50" file="0056" n="56" rhead="HERONIS"/> </div> <div xml:id="echoid-div67" type="section" level="1" n="43"> <head xml:id="echoid-head49" xml:space="preserve">XXXV.</head> <p> <s xml:id="echoid-s1082" xml:space="preserve">Conſtruitur etiam vas, quod quouſque infundas humo-<lb/>rem excipit, ſi vero deſiſtas, non amplius excipit. </s> <s xml:id="echoid-s1083" xml:space="preserve">Fit autem <lb/>hoc modo.</s> <s xml:id="echoid-s1084" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1085" xml:space="preserve">Sit vas A B collum <lb/> <anchor type="figure" xlink:label="fig-0056-01a" xlink:href="fig-0056-01"/> habens diaphragmate <lb/>C D interſeptum, & </s> <s xml:id="echoid-s1086" xml:space="preserve"><lb/>per diaphragma demit-<lb/>tatur tubus EF, à fundo <lb/>quidem parum diſtans, <lb/>excedens autem dia-<lb/>phragma ita ut à labro <lb/>vaſis non multum diſtet; <lb/></s> <s xml:id="echoid-s1087" xml:space="preserve">circa quem alius tubus <lb/>circumponatur G H à <lb/>diaphragmate, & </s> <s xml:id="echoid-s1088" xml:space="preserve">à tubo <lb/>tantum diſtans, quan-<lb/>tum ad aquæ fluxum ſa-<lb/>tis ſit. </s> <s xml:id="echoid-s1089" xml:space="preserve">Tubi vero G H <lb/>pars ſuperior ſquammu-<lb/>la obtegatur; </s> <s xml:id="echoid-s1090" xml:space="preserve">& </s> <s xml:id="echoid-s1091" xml:space="preserve">vas ha-<lb/>beat ſpiraculum K in <lb/>ventrem deferens. </s> <s xml:id="echoid-s1092" xml:space="preserve">Quando igitur per collum humorem infundamus, <lb/>continget ipſum procederein ventrem vaſis per tubum GH, & </s> <s xml:id="echoid-s1093" xml:space="preserve">per E F, <lb/>aëre per ſpiraculum K excedente. </s> <s xml:id="echoid-s1094" xml:space="preserve">Quod ſi deſiſtamus, & </s> <s xml:id="echoid-s1095" xml:space="preserve">collum vaſis <lb/>exinanitum fuerit, aër continuitatem abrumpet. </s> <s xml:id="echoid-s1096" xml:space="preserve">Quare humor, qui eſt in <lb/>tubo G H delapſus cadet in diaphragma. </s> <s xml:id="echoid-s1097" xml:space="preserve">Sit autem latitudo circa G H <lb/>talis, ut ſua gravitate humor decidat. </s> <s xml:id="echoid-s1098" xml:space="preserve">At infuſo altero humore, aër in tu-<lb/>bo E F collectus, & </s> <s xml:id="echoid-s1099" xml:space="preserve">in G H non permittet ipſum humorem ingredi. </s> <s xml:id="echoid-s1100" xml:space="preserve">Sed <lb/>ſupra vaſis labrum ſuperfundetur.</s> <s xml:id="echoid-s1101" xml:space="preserve"/> </p> <div xml:id="echoid-div67" type="float" level="2" n="1"> <figure xlink:label="fig-0056-01" xlink:href="fig-0056-01a"> <image file="0056-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0056-01"/> </figure> </div> <pb o="51" file="0057" n="57" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div69" type="section" level="1" n="44"> <head xml:id="echoid-head50" xml:space="preserve">XXXVI.</head> <p> <s xml:id="echoid-s1102" xml:space="preserve">Conſtruitur autem & </s> <s xml:id="echoid-s1103" xml:space="preserve">ſatyriſcus ſuper quadam bafi, utrem <lb/>in manibus tenens, cui adjacet labellum; </s> <s xml:id="echoid-s1104" xml:space="preserve">& </s> <s xml:id="echoid-s1105" xml:space="preserve">infuſo in ipſum <lb/>humore, ita ut repleatur, aqua per utrem in labellum influet, <lb/>& </s> <s xml:id="echoid-s1106" xml:space="preserve">non ſuperfundetur, quouſque tota per utrem aqua eva-<lb/>cuata fuerit. </s> <s xml:id="echoid-s1107" xml:space="preserve">Eſt autem conſtructio talis.</s> <s xml:id="echoid-s1108" xml:space="preserve"/> </p> <figure> <image file="0057-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0057-01"/> </figure> <p> <s xml:id="echoid-s1109" xml:space="preserve">Sit quædam baſis A B undique præcluſa, ſive cylindrica, ſive octagona <lb/>ornamenti gratia, quæ diaphragmate C D diſtinguatur, & </s> <s xml:id="echoid-s1110" xml:space="preserve">per diaphra-<lb/>gma protendatur tubus E F ſimul cum eo perforatus, & </s> <s xml:id="echoid-s1111" xml:space="preserve">ab operculo parum <lb/>diſtans: </s> <s xml:id="echoid-s1112" xml:space="preserve">per operculum vero impellatur tubus G H paulum excedens in <lb/>partem ſuperiorem, qui habeat labellum ſibi impoſitum, at que à fundo <lb/>tantum diſtet, quantum ad aquæ fluxum ſit ſatis: </s> <s xml:id="echoid-s1113" xml:space="preserve">coarctetur autem & </s> <s xml:id="echoid-s1114" xml:space="preserve"><lb/>operculo vaſis, & </s> <s xml:id="echoid-s1115" xml:space="preserve">ipſi diaphragmati. </s> <s xml:id="echoid-s1116" xml:space="preserve">Deinde alius tubus K L M ſimiliter <lb/>impellatur per operculum, à diaphragmate parum diſtans, coarctatuſque <lb/>operculo, & </s> <s xml:id="echoid-s1117" xml:space="preserve">ex ſeipſo in labellum fluxionem deferens. </s> <s xml:id="echoid-s1118" xml:space="preserve">Quod quidem <lb/>labellum imponitur tubo G H ſimul cum eo perforatum. </s> <s xml:id="echoid-s1119" xml:space="preserve">His ita conſti-<lb/>tutis vas A D impleatur humore per foramen N, quod poſt infuſionem <lb/>obturetur. </s> <s xml:id="echoid-s1120" xml:space="preserve">Si igitur in labellum humorem in fundamus deſcendet per GH <pb o="52" file="0058" n="58" rhead="HERONIS"/> <anchor type="figure" xlink:label="fig-0058-01a" xlink:href="fig-0058-01"/> tubum in vas B C, aëre per E F egrediente, qui quidem cum in vas A D <lb/>procedat, humorem in ipſo contentum per tubum K L M in labellum ex-<lb/>primit: </s> <s xml:id="echoid-s1121" xml:space="preserve">hic autem rurſus in vas B C delatus exprimit ſimiliter aërem, qui <lb/>eft in ipſo: </s> <s xml:id="echoid-s1122" xml:space="preserve">atque is rurſus aquam, quæ eſt in vaſe A D exprimit in la-<lb/>bellum, & </s> <s xml:id="echoid-s1123" xml:space="preserve">hoc tamdiu erit, quoad aqua, quæ in vaſe A D continetur, <lb/>evacuata fuerit. </s> <s xml:id="echoid-s1124" xml:space="preserve">Oportebit autem tubum MLK per os utris eſſe, & </s> <s xml:id="echoid-s1125" xml:space="preserve">omni-<lb/>no tenuem exiſtere, ut demonſtratio hæc longiori tempore permaneat.</s> <s xml:id="echoid-s1126" xml:space="preserve"/> </p> <div xml:id="echoid-div69" type="float" level="2" n="1"> <figure xlink:label="fig-0058-01" xlink:href="fig-0058-01a"> <image file="0058-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0058-01"/> </figure> </div> </div> <div xml:id="echoid-div71" type="section" level="1" n="45"> <head xml:id="echoid-head51" xml:space="preserve">XXXVII.</head> <p> <s xml:id="echoid-s1127" xml:space="preserve">Sacelli conſtructio, ut igne accenſo valvæ ſponte aperian-<lb/>tur, & </s> <s xml:id="echoid-s1128" xml:space="preserve">eo extincto rurſus claudantur.</s> <s xml:id="echoid-s1129" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1130" xml:space="preserve">Sit prædictum ſacellum in baſi A B C D, ſupra quam arula E D collo-<lb/>cetur: </s> <s xml:id="echoid-s1131" xml:space="preserve">& </s> <s xml:id="echoid-s1132" xml:space="preserve">per arulam impellatur tubus G F, cujus ofculum quidem F ſit <lb/>intra ipſam arulam, oſculum vero G in ſphæra quadam H comprehen-<lb/>datur à centro ipſius parum diſtans: </s> <s xml:id="echoid-s1133" xml:space="preserve">coarctetur autem ſphæra ipſi tubo <lb/>G F: </s> <s xml:id="echoid-s1134" xml:space="preserve">ſitque in ſphæra inflexus ſiphon K L M, & </s> <s xml:id="echoid-s1135" xml:space="preserve">valvarum cardines in <lb/>partem inferiorem extendantur, & </s> <s xml:id="echoid-s1136" xml:space="preserve">expedite convertantur in cnodacibus, <lb/>qui ſunt in baſi A B C D. </s> <s xml:id="echoid-s1137" xml:space="preserve">Ex cardinibus catenulæ in unum coactæ per <lb/>trochleam ad vas N X concavum & </s> <s xml:id="echoid-s1138" xml:space="preserve">ſuſpenſum religentur; </s> <s xml:id="echoid-s1139" xml:space="preserve">alteræ vero <lb/>catenulæ cardinibus obvolutæ, ſuperioribuſque contrariæ, & </s> <s xml:id="echoid-s1140" xml:space="preserve">in unum <pb o="53" file="0059" n="59" rhead="SPIRITAL. LIBER."/> <anchor type="figure" xlink:label="fig-0059-01a" xlink:href="fig-0059-01"/> coactæ per trochleam religentur ad pondus plumbeum, per quod deſcen-<lb/>dens valvæ claudentur. </s> <s xml:id="echoid-s1141" xml:space="preserve">Siphon autem K L M habeat exterius crus in vas <lb/>ſuſpenſum deferens: </s> <s xml:id="echoid-s1142" xml:space="preserve">& </s> <s xml:id="echoid-s1143" xml:space="preserve">per quoddam foramen P aqua in ſphæram infun-<lb/>datur, adeo ut ad dimidium perveniat, quod quidem foramen poſt in-<lb/>fuſionem obturetur. </s> <s xml:id="echoid-s1144" xml:space="preserve">Continget igitur igne evaporante aërem, qui eſt in <lb/>arula calefactum in ampliorem locum fundi. </s> <s xml:id="echoid-s1145" xml:space="preserve">Hic autem per tubum F G <lb/>in ſphæram procedens, humorem, qui in ea continetur per ſiphonem <lb/>KLM in ſuſpenſum vas extrudet. </s> <s xml:id="echoid-s1146" xml:space="preserve">Quod vas deſcendens attrahet catenu-<lb/>las, & </s> <s xml:id="echoid-s1147" xml:space="preserve">valvas aperiet. </s> <s xml:id="echoid-s1148" xml:space="preserve">Rurſus extincto igne aër quidem attenuatus exce-<lb/>det per raritates parietis ſphæræ. </s> <s xml:id="echoid-s1149" xml:space="preserve">Inflexus autem ſiphon K L M humo-<lb/>rem ex vaſe ſuſpenſo attrahet, ita ut repleatur locus excretarum raritatum. <lb/></s> <s xml:id="echoid-s1150" xml:space="preserve">Erit enim ipſius extremitas immerſa in aqua, quæ in vaſe ſuſpenſo contine-<lb/>tur. </s> <s xml:id="echoid-s1151" xml:space="preserve">Exinanito autem vaſe, & </s> <s xml:id="echoid-s1152" xml:space="preserve">obid leviori facto, rurſus pondus ſuſpen-<lb/>ſum deorſum repens valvas occludet. </s> <s xml:id="echoid-s1153" xml:space="preserve">Sunt qui pro aqua utuntur hydrar-<lb/>gyro, quoniam & </s> <s xml:id="echoid-s1154" xml:space="preserve">aqua gravius eſt, & </s> <s xml:id="echoid-s1155" xml:space="preserve">à caliditate facile ſolvitur.</s> <s xml:id="echoid-s1156" xml:space="preserve"/> </p> <div xml:id="echoid-div71" type="float" level="2" n="1"> <figure xlink:label="fig-0059-01" xlink:href="fig-0059-01a"> <image file="0059-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0059-01"/> </figure> </div> <pb o="54" file="0060" n="60" rhead="HERONIS"/> </div> <div xml:id="echoid-div73" type="section" level="1" n="46"> <head xml:id="echoid-head52" xml:space="preserve">XXXVIII.</head> <p> <s xml:id="echoid-s1157" xml:space="preserve">Contingit etiam aliter accenſo igne valvas aperiri.</s> <s xml:id="echoid-s1158" xml:space="preserve"/> </p> <figure> <image file="0060-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0060-01"/> </figure> <p> <s xml:id="echoid-s1159" xml:space="preserve">Sit rurſus ſacellum in aliqua bafi A B C D, in qua ſit ara E: </s> <s xml:id="echoid-s1160" xml:space="preserve">& </s> <s xml:id="echoid-s1161" xml:space="preserve">per <lb/>aram tubus F G H referatur in parvum utrem K undique præcluſum. </s> <s xml:id="echoid-s1162" xml:space="preserve">Utri <lb/>vero ſubijciatur pondus L, ex quo catenula per trochleam religetur ad <lb/>catenulas, quæ ſunt circa cardines, ita ut compreſſo utre pondus L evin-<lb/>cat, & </s> <s xml:id="echoid-s1163" xml:space="preserve">valvas claudat: </s> <s xml:id="echoid-s1164" xml:space="preserve">impoſito autem igne aperiat. </s> <s xml:id="echoid-s1165" xml:space="preserve">Rurſus enim aër, qui <lb/>eſt in ara calore effuſus per tubum F G H in utrem procedet, & </s> <s xml:id="echoid-s1166" xml:space="preserve">ipſum una <lb/>cum pondere L attrahet, & </s> <s xml:id="echoid-s1167" xml:space="preserve">valvæ aperientur. </s> <s xml:id="echoid-s1168" xml:space="preserve">Nam vel ipſæ per ſeipſas <lb/>ſponte aperientur, quemadmodum balnearum valvæ ſponte clauduntur, <pb o="55" file="0061" n="61" rhead="SPIRITAL. LIBER."/> vel habebunt contrapoſitum pondus ipſas aperiens: </s> <s xml:id="echoid-s1169" xml:space="preserve">extincto autem igne, <lb/>& </s> <s xml:id="echoid-s1170" xml:space="preserve">recedente aëre, qui in utrem ingreſſus eſt, pondus deſcendens ſimul <lb/>cum utre attrahet, & </s> <s xml:id="echoid-s1171" xml:space="preserve">valvas claudet.</s> <s xml:id="echoid-s1172" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div74" type="section" level="1" n="47"> <head xml:id="echoid-head53" xml:space="preserve">XXXIX.</head> <p> <s xml:id="echoid-s1173" xml:space="preserve">Vaſe vino repleto, & </s> <s xml:id="echoid-s1174" xml:space="preserve">canales tres habente, per medium <lb/>quidem fluere vinum: </s> <s xml:id="echoid-s1175" xml:space="preserve">& </s> <s xml:id="echoid-s1176" xml:space="preserve">quando aquam infundamus, vi-<lb/>num non adhuc fluere, ſed aquam per reliquos duos cana-<lb/>les. </s> <s xml:id="echoid-s1177" xml:space="preserve">Quando autem aqua fluere deſinat, vinum per medium <lb/>fluere, & </s> <s xml:id="echoid-s1178" xml:space="preserve">hoc toties fit, quoties aquam infundamus.</s> <s xml:id="echoid-s1179" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1180" xml:space="preserve">Sit aliquod vas AB, in-<lb/> <anchor type="figure" xlink:label="fig-0061-01a" xlink:href="fig-0061-01"/> terſeptum habens collum <lb/>diaphragmate C D, habe-<lb/>atque ad fundum canalem <lb/>E & </s> <s xml:id="echoid-s1181" xml:space="preserve">per diaphragmata tra-<lb/>jiciantur duo tubi F G H <lb/>K L M deſinentes in cana-<lb/>les, & </s> <s xml:id="echoid-s1182" xml:space="preserve">ſupra diaphragma <lb/>excedentes: </s> <s xml:id="echoid-s1183" xml:space="preserve">circa exceſſus <lb/>vero imponantur alii tubi <lb/>N X cooperti ex ſuperiori <lb/>parte, diſtanteſque à dia-<lb/>phragmate, quantum ad <lb/>aquæ fluxum ſatis ſit: </s> <s xml:id="echoid-s1184" xml:space="preserve">& </s> <s xml:id="echoid-s1185" xml:space="preserve"><lb/>alius tubus P O ſimul per-<lb/>foretur cum ipſo F G H, <lb/>parum diſtans à diaphra-<lb/>gmate CD. </s> <s xml:id="echoid-s1186" xml:space="preserve">Comprehenſo <lb/>igitur canali E, vas A B <lb/>per aliquod foramen V vi-<lb/>no repletur, quod quidem <lb/>obturetur poſt infuſio-<lb/>nem. </s> <s xml:id="echoid-s1187" xml:space="preserve">Itaque continget di-<lb/>miſſo E canali vinum flue-<lb/>re, aër enim per oſculum <lb/>R, & </s> <s xml:id="echoid-s1188" xml:space="preserve">per tubum O P ex-<lb/>tra procedet. </s> <s xml:id="echoid-s1189" xml:space="preserve">Quod ſi aquam in diaphragma C D infundamus, extra ſe-<lb/>retur per tubos F G H K L M, aëre autem in @as A Bingreſſum non ha- <pb o="56" file="0062" n="62" rhead="HERONIS"/> bente, non adhuc fluet vinum, quouſque tota aqua affundatur: </s> <s xml:id="echoid-s1190" xml:space="preserve">& </s> <s xml:id="echoid-s1191" xml:space="preserve">rurſus <lb/>aëre ingreſſum habente vinum fluet. </s> <s xml:id="echoid-s1192" xml:space="preserve">Poteſt autem pro tubo O P alius <lb/>eſſe tubus R S ſimul cum diaphragmate perforatus, circa quem alius T Y <lb/>imponatur ad ſimilitudinem N X, ſed ipſis ſublimior, ita ut tubus R S <lb/>ſit ſupra vaſis labrum, & </s> <s xml:id="echoid-s1193" xml:space="preserve">eadem, quæ dicta ſunt ſequentur.</s> <s xml:id="echoid-s1194" xml:space="preserve"/> </p> <div xml:id="echoid-div74" type="float" level="2" n="1"> <figure xlink:label="fig-0061-01" xlink:href="fig-0061-01a"> <image file="0061-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0061-01"/> </figure> </div> </div> <div xml:id="echoid-div76" type="section" level="1" n="48"> <head xml:id="echoid-head54" xml:space="preserve">XL.</head> <p> <s xml:id="echoid-s1195" xml:space="preserve">Baſi exiſtente, in qua arbuſcula conſiſtit, & </s> <s xml:id="echoid-s1196" xml:space="preserve">circa arbu-<lb/>ſculam draco involvitur, aſtatque Hercules ſagittans & </s> <s xml:id="echoid-s1197" xml:space="preserve">po-<lb/>mo baſi impoſito, poſtquam aliquis à baſi pomum manu ele-<lb/>vaverit, Hercules quidem ſagittam dimittet in draconem, <lb/>& </s> <s xml:id="echoid-s1198" xml:space="preserve">Draco ſibilabit.</s> <s xml:id="echoid-s1199" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1200" xml:space="preserve">Sit dicta baſis præ-<lb/> <anchor type="figure" xlink:label="fig-0062-01a" xlink:href="fig-0062-01"/> cluſa A B diaphragma <lb/>habens C D : </s> <s xml:id="echoid-s1201" xml:space="preserve">& </s> <s xml:id="echoid-s1202" xml:space="preserve">dia-<lb/>phragmati conjunctus <lb/>ſit parvus conus E F, <lb/>& </s> <s xml:id="echoid-s1203" xml:space="preserve">concavus, & </s> <s xml:id="echoid-s1204" xml:space="preserve">muti-<lb/>lus, qui habeat mino-<lb/>rem circulum F aper-<lb/>tum verſus fundum, & </s> <s xml:id="echoid-s1205" xml:space="preserve"><lb/>parum diſtantem, quan-<lb/>tum ſcilicet ad aquæ <lb/>fluxum ſufficiat. </s> <s xml:id="echoid-s1206" xml:space="preserve">Huic <lb/>autem intra coaptatus <lb/>ſit alter conus Hex ca-<lb/>tenula quadam per fo-<lb/>ramen religatus ad po-<lb/>mum K baſi impoſitum. <lb/></s> <s xml:id="echoid-s1207" xml:space="preserve">Et Hercules teneat ar-<lb/>culum corneum, inten-<lb/>tum nervum habentem, <lb/>diſtantemque à dextra <lb/>manu quantum ſatis ſit: </s> <s xml:id="echoid-s1208" xml:space="preserve">in dextra autem manu adverſus Draconem ſit ma-<lb/>nus omnino ſimilis extrinſecæ, præterquam quod parva, habens & </s> <s xml:id="echoid-s1209" xml:space="preserve">nervi <lb/>emiſſorium, & </s> <s xml:id="echoid-s1210" xml:space="preserve">ex emiſſorii parte extrema catenula, ſive funis per baſim <lb/>referatur in trochleam ſupra diaphragma poſitam: </s> <s xml:id="echoid-s1211" xml:space="preserve">& </s> <s xml:id="echoid-s1212" xml:space="preserve">adhuc in catenulam <lb/>ad conum, & </s> <s xml:id="echoid-s1213" xml:space="preserve">ad pomum religatam. </s> <s xml:id="echoid-s1214" xml:space="preserve">Attrahemus igitur arcum, & </s> <s xml:id="echoid-s1215" xml:space="preserve">ſub <pb o="57" file="0063" n="63" rhead="SPIRITAL. LIBER."/> manum ſubjicientes conſtringemus emiſſorium, ita ut ſunis extentus ſit, <lb/>& </s> <s xml:id="echoid-s1216" xml:space="preserve">pomum ad inferiorem partem compellatur. </s> <s xml:id="echoid-s1217" xml:space="preserve">Sit autem ſunis per cor-<lb/>pus, & </s> <s xml:id="echoid-s1218" xml:space="preserve">per manum intra Herculem. </s> <s xml:id="echoid-s1219" xml:space="preserve">Et ex diaphragmate ſupra baſim ex-<lb/>tendatur parvus tubus eorum, qui ſibilare ſolitiſunt. </s> <s xml:id="echoid-s1220" xml:space="preserve">Sitque ſub arbu-<lb/>ſcula aut intra ipſam, vas autem A D aqua impleatur, & </s> <s xml:id="echoid-s1221" xml:space="preserve">ſit arbuſcula qui-<lb/>dem L M, arcus NX, nervus O P manus aſſumens R S, emiſſorium T Y, <lb/>funis V Q, trochlea Q circa quam funis, fiſtula vero Z Ω : </s> <s xml:id="echoid-s1222" xml:space="preserve">Si quisigitur <lb/>pomum K elevet, ſimul elevabit & </s> <s xml:id="echoid-s1223" xml:space="preserve">conum H, attrahetque funem Y V Q, <lb/>& </s> <s xml:id="echoid-s1224" xml:space="preserve">manum deducet, ita ut ſagitta dimittatur: </s> <s xml:id="echoid-s1225" xml:space="preserve">& </s> <s xml:id="echoid-s1226" xml:space="preserve">aqua, quæ eſt in vaſe <lb/>A D, deſcendens in B C vas extrudet aërem in ipſo exiſtentem per fiſtu-<lb/>lam, & </s> <s xml:id="echoid-s1227" xml:space="preserve">ſonum perficiet. </s> <s xml:id="echoid-s1228" xml:space="preserve">Poſito autem rurſus pomo, conus alteri con-<lb/>gruens ſiſtet fluxum, ut non amplius ſonus reddatur. </s> <s xml:id="echoid-s1229" xml:space="preserve">Rurſus igitur apta-<lb/>bimus ea, quæ ſunt circa ſagittam, & </s> <s xml:id="echoid-s1230" xml:space="preserve">dimittemus. </s> <s xml:id="echoid-s1231" xml:space="preserve">Repleto autem vaſe <lb/>B C, rurſus ipſum evacuabimus, per aliquem canalem, qui claviculam <lb/>habeat, & </s> <s xml:id="echoid-s1232" xml:space="preserve">vas A D quemadmodum & </s> <s xml:id="echoid-s1233" xml:space="preserve">antea, implebimus.</s> <s xml:id="echoid-s1234" xml:space="preserve"/> </p> <div xml:id="echoid-div76" type="float" level="2" n="1"> <figure xlink:label="fig-0062-01" xlink:href="fig-0062-01a"> <image file="0062-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0062-01"/> </figure> </div> <pb o="58" file="0064" n="64" rhead="HERONIS"/> </div> <div xml:id="echoid-div78" type="section" level="1" n="49"> <head xml:id="echoid-head55" xml:space="preserve">XLI.</head> <p> <s xml:id="echoid-s1235" xml:space="preserve">Vaſis conſtructio, quod {διὰ}εόμετ{ρο}ν videlicet juſtæ men-<lb/>ſuræ appellatur. </s> <s xml:id="echoid-s1236" xml:space="preserve">Hoc autem humido repletum quotieſcum-<lb/>que invertatur, æqualem quantitatem effundit.</s> <s xml:id="echoid-s1237" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1238" xml:space="preserve">Sit aliquod vas A B, interſe-<lb/> <anchor type="figure" xlink:label="fig-0064-01a" xlink:href="fig-0064-01"/> ptum habens collum A B dia-<lb/>phragmate: </s> <s xml:id="echoid-s1239" xml:space="preserve">& </s> <s xml:id="echoid-s1240" xml:space="preserve">ad fundum vaſis <lb/>ſit ſphærula C, capiens menſu-<lb/>ram, quam effundere volueri-<lb/>mus. </s> <s xml:id="echoid-s1241" xml:space="preserve">Per diaphragma vero de-<lb/>mittatur tubus ſubtiliſſimus DE. <lb/></s> <s xml:id="echoid-s1242" xml:space="preserve">Simul cum ſphærula perforatus: </s> <s xml:id="echoid-s1243" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s1244" xml:space="preserve">in parte inferiori ſphærulæ <lb/>ſit parvum foramen F, à quo ex-<lb/>tendatur tubulus F G ſub auri-<lb/>culam vaſis tendens, & </s> <s xml:id="echoid-s1245" xml:space="preserve">ſimul <lb/>perforatus cum ea, quæ conca-<lb/>va exiſtat: </s> <s xml:id="echoid-s1246" xml:space="preserve">& </s> <s xml:id="echoid-s1247" xml:space="preserve">juxta dictum fo-<lb/>ramen ſit aliud foramen L <lb/>tendens in alveum vaſis. </s> <s xml:id="echoid-s1248" xml:space="preserve">Ha-<lb/>beat autem auricula etiam ſpi-<lb/>raculum H. </s> <s xml:id="echoid-s1249" xml:space="preserve">Comprehendentes <lb/>igitur H ſpiraculum vas humido <lb/>replebimus per foramen, quod <lb/>poſt infuſionem obturetur. </s> <s xml:id="echoid-s1250" xml:space="preserve">Vel <lb/>etiam per ipſum tubulum D E <lb/>vas implebitur, exiſtentein ven-<lb/>tre vaſis parvo foramine, per <lb/>quod aër expellatur. </s> <s xml:id="echoid-s1251" xml:space="preserve">Simul quo-<lb/>que humido replebitur ſphærula <lb/>per tubulum DE. </s> <s xml:id="echoid-s1252" xml:space="preserve">Ergo ſi inver-<lb/>tentes vas ſpiraculum H dimittamus, effluet humidum, quod in ſphærula <lb/>C, & </s> <s xml:id="echoid-s1253" xml:space="preserve">in tubulo D E continetur. </s> <s xml:id="echoid-s1254" xml:space="preserve">Rurſus ſi comprehendentes ſpiraculum <lb/>vas invertamus, & </s> <s xml:id="echoid-s1255" xml:space="preserve">ſphærula, & </s> <s xml:id="echoid-s1256" xml:space="preserve">tubulus implebuntur; </s> <s xml:id="echoid-s1257" xml:space="preserve">aër enim, qui eſt <lb/>inipſis ab incidente humido expelletur. </s> <s xml:id="echoid-s1258" xml:space="preserve">Poſtea rurſus quando vas inver-<lb/>tamus, æqualis molis humidum effluet, niſifortaſſe ob differentiam tu-<lb/>buli D E, non enim ſemper implebitur. </s> <s xml:id="echoid-s1259" xml:space="preserve">Sed juxta vaſis inanitionem & </s> <s xml:id="echoid-s1260" xml:space="preserve"><lb/>ipſe inanietur. </s> <s xml:id="echoid-s1261" xml:space="preserve">Hæc autem differentia omnino minima erit.</s> <s xml:id="echoid-s1262" xml:space="preserve"/> </p> <div xml:id="echoid-div78" type="float" level="2" n="1"> <figure xlink:label="fig-0064-01" xlink:href="fig-0064-01a"> <image file="0064-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0064-01"/> </figure> </div> <pb o="59" file="0065" n="65" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div80" type="section" level="1" n="50"> <head xml:id="echoid-head56" xml:space="preserve">XLII.</head> <p> <s xml:id="echoid-s1263" xml:space="preserve">In quædam vaſa perflata, aqua hoc modo comprimitur.</s> <s xml:id="echoid-s1264" xml:space="preserve"/> </p> <figure> <image file="0065-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0065-01"/> </figure> <p> <s xml:id="echoid-s1265" xml:space="preserve">Per os vaſis impellatur tubus, à fundo quidem parum diſtans, coa-<lb/>gmentatus autem ipſiori, & </s> <s xml:id="echoid-s1266" xml:space="preserve">in parvum oſculum deſinens. </s> <s xml:id="echoid-s1267" xml:space="preserve">Siigitur dictum <lb/>oſculum digito comprehendentes per quoddam foramen humidum infun-<lb/>damus : </s> <s xml:id="echoid-s1268" xml:space="preserve">& </s> <s xml:id="echoid-s1269" xml:space="preserve">poſt infuſionem per idem foramen inflantes, ipſum clavi <lb/>obturemus, & </s> <s xml:id="echoid-s1270" xml:space="preserve">dimittamus tubi oſculum per ipſum oſculum ab inflato, <lb/>& </s> <s xml:id="echoid-s1271" xml:space="preserve">compreſſo aëre humidum expuetur.</s> <s xml:id="echoid-s1272" xml:space="preserve"/> </p> <pb o="60" file="0066" n="66" rhead="HERONIS"/> </div> <div xml:id="echoid-div81" type="section" level="1" n="51"> <head xml:id="echoid-head57" xml:space="preserve">XLIII.</head> <p> <s xml:id="echoid-s1273" xml:space="preserve">Ex diftantiis voces avicularum hoc modo efficiuntur.</s> <s xml:id="echoid-s1274" xml:space="preserve"/> </p> <figure> <image file="0066-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0066-01"/> </figure> <p> <s xml:id="echoid-s1275" xml:space="preserve">Sit vas præcluſum, per quod infundibulum tranſmittitur, cujus caulis <lb/>à fundo tantum diſtet, quantum ad aquæ fluxum ſatis ſit. </s> <s xml:id="echoid-s1276" xml:space="preserve">Superponitur au-<lb/>tem infundibulo vas concavum in cnodacibus verſatum, habensque in in-<lb/>feriori parte pondera, in quod aqua ſemper influit. </s> <s xml:id="echoid-s1277" xml:space="preserve">Contingit igitur <lb/>vacuo exiſtente vaſe, quod in cnodacibus verſatur, ipſum rectum per-<lb/>manere: </s> <s xml:id="echoid-s1278" xml:space="preserve">pondus enim habet in fundo appoſitum. </s> <s xml:id="echoid-s1279" xml:space="preserve">Atque eo repleto aqua <lb/>in vas præcluſum effundetur. </s> <s xml:id="echoid-s1280" xml:space="preserve">Et aër qui eſt in ipſo, per quandam fiſtu-<lb/>lam expulſus ſonum reddet. </s> <s xml:id="echoid-s1281" xml:space="preserve">Exinanitur autem vas per quendam ſiphonem <lb/>inflexum: </s> <s xml:id="echoid-s1282" xml:space="preserve">& </s> <s xml:id="echoid-s1283" xml:space="preserve">in quo tempore exinanitio fit, rurſus vas repletum invertitur. <lb/></s> <s xml:id="echoid-s1284" xml:space="preserve">Itaque oportebit influxionem haud in medium vaſis incidere, ut ipſum <lb/>repletum ſubito invertatur.</s> <s xml:id="echoid-s1285" xml:space="preserve"/> </p> <pb o="61" file="0067" n="67" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div82" type="section" level="1" n="52"> <head xml:id="echoid-head58" xml:space="preserve">XLIV.</head> <p> <s xml:id="echoid-s1286" xml:space="preserve">ALITER, etiam ex diſtantiis ſoni hoc modo fiunt.</s> <s xml:id="echoid-s1287" xml:space="preserve"/> </p> <figure> <image file="0067-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0067-01"/> </figure> <p> <s xml:id="echoid-s1288" xml:space="preserve">Eſt vas habens plura diaphragmata tranſverſa: </s> <s xml:id="echoid-s1289" xml:space="preserve">in locis autem diabetæ <lb/>ſunt ad inferiores locos deferentes, fluxibuſque inæquales: </s> <s xml:id="echoid-s1290" xml:space="preserve">& </s> <s xml:id="echoid-s1291" xml:space="preserve">in loco <lb/>inferiori apponitur ſyringula ſonum edens. </s> <s xml:id="echoid-s1292" xml:space="preserve">In ſuperius autem vas defer-<lb/>tur aquæ fluxus. </s> <s xml:id="echoid-s1293" xml:space="preserve">Itaque repleto ſuperiori vaſe contingit humidum pe@ <lb/>diabetem, qui eſt in ipſo in inferius procedere, quouſque ad ultimum de-<lb/>venerit. </s> <s xml:id="echoid-s1294" xml:space="preserve">Quippe cum vas præcluſum ponatur. </s> <s xml:id="echoid-s1295" xml:space="preserve">At vero aër, qui in ipſo eſt <lb/>extruſus per fiſtulam ſonum perficit.</s> <s xml:id="echoid-s1296" xml:space="preserve"/> </p> <pb o="62" file="0068" n="68" rhead="HERONIS"/> </div> <div xml:id="echoid-div83" type="section" level="1" n="53"> <head xml:id="echoid-head59" xml:space="preserve">XLV.</head> <p> <s xml:id="echoid-s1297" xml:space="preserve">Et ſphæræ trepudiant hoc modo.</s> <s xml:id="echoid-s1298" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1299" xml:space="preserve">Lebes aquam ha-<lb/> <anchor type="figure" xlink:label="fig-0068-01a" xlink:href="fig-0068-01"/> bens cooperto ore <lb/>ſuccenditur. </s> <s xml:id="echoid-s1300" xml:space="preserve">Ab oper-<lb/>culo autem procedit <lb/>tubus, ex cujus extre-<lb/>mo dimidia ſphæra <lb/>concava ſimul perfo-<lb/>ratur. </s> <s xml:id="echoid-s1301" xml:space="preserve">Si igitur le-<lb/>vem ſphærulam in di-<lb/>midiam ſphæram in-<lb/>jiciamus, continget <lb/>vaporem, qui ex le-<lb/>bete per tubum attol-<lb/>litur, ſphærulam ele-<lb/>vare adeo ut tripudia-<lb/>re videatur.</s> <s xml:id="echoid-s1302" xml:space="preserve"/> </p> <div xml:id="echoid-div83" type="float" level="2" n="1"> <figure xlink:label="fig-0068-01" xlink:href="fig-0068-01a"> <image file="0068-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0068-01"/> </figure> </div> </div> <div xml:id="echoid-div85" type="section" level="1" n="54"> <head xml:id="echoid-head60" xml:space="preserve">XLVI.</head> <p> <s xml:id="echoid-s1303" xml:space="preserve">Fit etiam ſphæra perſpicua aërem & </s> <s xml:id="echoid-s1304" xml:space="preserve">aquam intra ſeſe con-<lb/>tinens, & </s> <s xml:id="echoid-s1305" xml:space="preserve">in medio ipſius ſphærulam inſtar mundi.</s> <s xml:id="echoid-s1306" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1307" xml:space="preserve">Fiunt enim duo hemiſphæria ex <lb/> <anchor type="figure" xlink:label="fig-0068-02a" xlink:href="fig-0068-02"/> vitro quorum alterum obtegitur la-<lb/>mina ærea, in medio foramen rotun-<lb/>dum habente: </s> <s xml:id="echoid-s1308" xml:space="preserve">fit autem ſphærula mi-<lb/>nor, ac levis, & </s> <s xml:id="echoid-s1309" xml:space="preserve">in aquam quæ eſt in <lb/>altero hemiſphærio injicitur. </s> <s xml:id="echoid-s1310" xml:space="preserve">Poſtea <lb/>huic apponitur hemiſphærium obte-<lb/>ctum, & </s> <s xml:id="echoid-s1311" xml:space="preserve">humidi quantitate extracta <lb/>ex aqua, qui in medio eſt locus ſphæ-<lb/>rulam continebit. </s> <s xml:id="echoid-s1312" xml:space="preserve">Ergo altero he-<lb/>miſphærio perficietur id, quod pro-<lb/>poſitum eſt.</s> <s xml:id="echoid-s1313" xml:space="preserve"/> </p> <div xml:id="echoid-div85" type="float" level="2" n="1"> <figure xlink:label="fig-0068-02" xlink:href="fig-0068-02a"> <image file="0068-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0068-02"/> </figure> </div> <pb o="63" file="0069" n="69" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div87" type="section" level="1" n="55"> <head xml:id="echoid-head61" xml:space="preserve">XLVII.</head> <p> <s xml:id="echoid-s1314" xml:space="preserve">Quæ gutta appellatur, ſtillat ſole in ipſam ingruente.</s> <s xml:id="echoid-s1315" xml:space="preserve"/> </p> <figure> <image file="0069-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0069-01"/> </figure> <p> <s xml:id="echoid-s1316" xml:space="preserve">Sit baſis præcluſa A B C D, per quaminfundibulum impellatur, cujus <lb/>caulis à fundo paululum diſtet: </s> <s xml:id="echoid-s1317" xml:space="preserve">& </s> <s xml:id="echoid-s1318" xml:space="preserve">ſit ſphærula E F, ex qua tubus in baſim <lb/>feratur, à fundo vaſis, & </s> <s xml:id="echoid-s1319" xml:space="preserve">à pariete ſphærulæ parum diſtans. </s> <s xml:id="echoid-s1320" xml:space="preserve">Inflexus <lb/>autem ſiphon ſphærulæ aptatus feratur in infundibulum, & </s> <s xml:id="echoid-s1321" xml:space="preserve">in ſphærulam <lb/>aqua injiciatur. </s> <s xml:id="echoid-s1322" xml:space="preserve">Quando igitur ſol in ſphærulam ingruit, calefactus aër <lb/>exiſtens in ipſa humidum expellit. </s> <s xml:id="echoid-s1323" xml:space="preserve">Quod quidem fertur perſiphonem G, <lb/>& </s> <s xml:id="echoid-s1324" xml:space="preserve">per infundibulum in baſim procedet. </s> <s xml:id="echoid-s1325" xml:space="preserve">Sed cum ſphærula obumbrata fue-<lb/>rit excedente aëre, tubus, qui ducitur per ſphærulam humidum aſſumet, <lb/>& </s> <s xml:id="echoid-s1326" xml:space="preserve">locum exinanitum replebit. </s> <s xml:id="echoid-s1327" xml:space="preserve">Atque hoc toties erit, quoties ſol in ipſam <lb/>ingruet.</s> <s xml:id="echoid-s1328" xml:space="preserve"/> </p> <pb o="64" file="0070" n="70" rhead="HERON@S"/> </div> <div xml:id="echoid-div88" type="section" level="1" n="56"> <head xml:id="echoid-head62" xml:space="preserve">XLVIII.</head> <p> <s xml:id="echoid-s1329" xml:space="preserve">Thyrſum in aquam demiſſum edere ſonum vel fiſtulæ, <lb/>vel alicujus aviculæ.</s> <s xml:id="echoid-s1330" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1331" xml:space="preserve">Sit thyrſus ABCD fo-<lb/> <anchor type="figure" xlink:label="fig-0070-01a" xlink:href="fig-0070-01"/> ramen habens ad verticem <lb/>corymbi D, ſitque co-<lb/>rymbus concavus, velut <lb/>nux pinea: </s> <s xml:id="echoid-s1332" xml:space="preserve">& </s> <s xml:id="echoid-s1333" xml:space="preserve">caulem in-<lb/>terſeptum habeat paululum <lb/>ſub os, diaphragmate AE. <lb/></s> <s xml:id="echoid-s1334" xml:space="preserve">Huic autem apponatur ſy-<lb/>ringula F ſub os tubi loca-<lb/>ta, & </s> <s xml:id="echoid-s1335" xml:space="preserve">ſimul perforata cum <lb/>diaphragmate. </s> <s xml:id="echoid-s1336" xml:space="preserve">Quando igi-<lb/>tur thyrſum in aquam in-<lb/>jicientes deorſum premi-<lb/>mus, aër, qui in ipſo eſt, <lb/>ab aqua eliſus ſonum efficit. </s> <s xml:id="echoid-s1337" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s1338" xml:space="preserve">ſi quidem ſyringula ſit <lb/>ſola, ſyringæ ſonum edet, <lb/>ſi vero adſit quantitas aquæ <lb/>ſub diaphragmate, erit ſo-<lb/>nus cum clangore.</s> <s xml:id="echoid-s1339" xml:space="preserve"/> </p> <div xml:id="echoid-div88" type="float" level="2" n="1"> <figure xlink:label="fig-0070-01" xlink:href="fig-0070-01a"> <image file="0070-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0070-01"/> </figure> </div> <pb o="65" file="0071" n="71" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div90" type="section" level="1" n="57"> <head xml:id="echoid-head63" xml:space="preserve">XLIX.</head> <p> <s xml:id="echoid-s1340" xml:space="preserve">Animal in baſi exiſtente, habenteque in ore tubum, ſi in-<lb/>flabimus, tuba canet.</s> <s xml:id="echoid-s1341" xml:space="preserve"/> </p> <figure> <image file="0071-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0071-01"/> </figure> <p> <s xml:id="echoid-s1342" xml:space="preserve">Sit baſis præcluſa ABCD, <lb/>in qua inſideat animal, intra <lb/>baſim vero ſit hemiſphærium <lb/>concavum, obturatumque <lb/>EFG, habens ad fundum par-<lb/>va foramina, ex quo tubus HF <lb/>in animal extendatur ad tubam <lb/>tendens. </s> <s xml:id="echoid-s1343" xml:space="preserve">Habeat autem tuba <lb/>lingulam & </s> <s xml:id="echoid-s1344" xml:space="preserve">codona: </s> <s xml:id="echoid-s1345" xml:space="preserve">& </s> <s xml:id="echoid-s1346" xml:space="preserve">in <lb/>baſim humidum infundatur <lb/>per aliquod foramen, quod <lb/>poſt infuſionem obturetur <lb/>ſmeriſmate quodam. </s> <s xml:id="echoid-s1347" xml:space="preserve">Quando <lb/>igitur in codona tubæ inflabi-<lb/>mus, qui ex nobis egreditur <lb/>aër, aquam, quæ eſt in heme-<lb/>ſphærio per foramina expellet, <lb/>quæ aſcendet in baſim ſurſum <lb/>elata. </s> <s xml:id="echoid-s1348" xml:space="preserve">Et cum ab inflatione <lb/>ceſſaverimus, rurſus in hemi-<lb/>ſphærium ingredietur, expel-<lb/>letque aërem, hic autem per <lb/>lingulam procedens tubæ ſo-<lb/>num perficiet.</s> <s xml:id="echoid-s1349" xml:space="preserve"/> </p> <pb o="66" file="0072" n="72" rhead="HERONIS"/> </div> <div xml:id="echoid-div91" type="section" level="1" n="58"> <head xml:id="echoid-head64" xml:space="preserve">L,</head> <p> <s xml:id="echoid-s1350" xml:space="preserve">Lebete ſuccenſo ſphæruiam ad cnodacem moveri.</s> <s xml:id="echoid-s1351" xml:space="preserve"/> </p> <figure> <image file="0072-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0072-01"/> </figure> <p> <s xml:id="echoid-s1352" xml:space="preserve">Sit lebes ſuccenſus, <lb/>qui aquam habeat A B; <lb/></s> <s xml:id="echoid-s1353" xml:space="preserve">obſtruaturque oſculum <lb/>cooperculo C D: </s> <s xml:id="echoid-s1354" xml:space="preserve">& </s> <s xml:id="echoid-s1355" xml:space="preserve">unà <lb/>cum eo ſimul perforetur <lb/>tubus inflexus E F G, <lb/>cujus extremitas G ad <lb/>concavam ſphærulam <lb/>H K aptetur. </s> <s xml:id="echoid-s1356" xml:space="preserve">Extremi-<lb/>tati autem ex diametro <lb/>opponatur cnodax L M <lb/>cooperculo C D nixus: </s> <s xml:id="echoid-s1357" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s1358" xml:space="preserve">ſphæra duos tubulos <lb/>inflexos habeat ſecundum <lb/>diametrum ſimul cum <lb/>ipſa perforatus, qui viciſ-<lb/>ſim inflectantur: </s> <s xml:id="echoid-s1359" xml:space="preserve">ſintque <lb/>inflexiones ad rectos an-<lb/>gulos.</s> <s xml:id="echoid-s1360" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1361" xml:space="preserve">Continget igitur ſuc-<lb/>cenſo lebete vaporem per <lb/>tubum EFG in ſphæram <lb/>incidentem extra cadere <lb/>per tubos inflexos, & </s> <s xml:id="echoid-s1362" xml:space="preserve">ſphæram convertere, quemadmodum in animalibus <lb/>choreas ducentibus.</s> <s xml:id="echoid-s1363" xml:space="preserve"/> </p> <pb o="67" file="0073" n="73" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div92" type="section" level="1" n="59"> <head xml:id="echoid-head65" xml:space="preserve">LI.</head> <p> <s xml:id="echoid-s1364" xml:space="preserve">Si crater in quadam baſe exiſtat, habeatque canalem a-<lb/>pertum inter fluendnn ceflabit, quamquam congruens o-<lb/>perculum canalem non claudat.</s> <s xml:id="echoid-s1365" xml:space="preserve"/> </p> <figure> <image file="0073-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0073-01"/> </figure> <p> <s xml:id="echoid-s1366" xml:space="preserve">Sit crater A B in baſi C. </s> <s xml:id="echoid-s1367" xml:space="preserve">Perque fundum vaſis & </s> <s xml:id="echoid-s1368" xml:space="preserve">baſim tubus impellatur <lb/>D E F in canalem deſinens. </s> <s xml:id="echoid-s1369" xml:space="preserve">In auricula autem crateris regula G H com-<lb/>pact a inſiſtat, ad quam aptetur altera regula K L circa H fibulam: </s> <s xml:id="echoid-s1370" xml:space="preserve">& </s> <s xml:id="echoid-s1371" xml:space="preserve">ab <lb/>extremitate K alia regula demittatur K M, quæ circa fibulam K movea-<lb/>tur. </s> <s xml:id="echoid-s1372" xml:space="preserve">Ad M vero contineat pyxidem, quæ pondus habeat, poſſitque tu-<lb/>bum D E F circumſepire. </s> <s xml:id="echoid-s1373" xml:space="preserve">Quando igitur cratere pleno exiſtente, depri-<lb/>memus extremitatem regulæ L pyxis NX extolletur, & </s> <s xml:id="echoid-s1374" xml:space="preserve">quæ in cratere <lb/>eſt aqua per tubum DEF feretur extra. </s> <s xml:id="echoid-s1375" xml:space="preserve">Quod ſi extremitatem L dimit-<lb/>temus pyxis deſcendet, tubumque DEF circumſepiet: </s> <s xml:id="echoid-s1376" xml:space="preserve">& </s> <s xml:id="echoid-s1377" xml:space="preserve">qui in ipſa eſt <lb/>aer non habens egreſſum, obſtabit humori exiſtenti circa tubum DEF, <lb/>ut non amplius per oſculum D feratur. </s> <s xml:id="echoid-s1378" xml:space="preserve">Sed cum rurſus deprimemus extre-<lb/>mitatem L, canalis aquam effundet.</s> <s xml:id="echoid-s1379" xml:space="preserve"/> </p> <pb o="68" file="0074" n="74" rhead="HERONIS"/> </div> <div xml:id="echoid-div93" type="section" level="1" n="60"> <head xml:id="echoid-head66" xml:space="preserve">LII.</head> <p> <s xml:id="echoid-s1380" xml:space="preserve">Fluxilis conſtructio ita ut impoſito vitreo operculo, & </s> <s xml:id="echoid-s1381" xml:space="preserve"><lb/>humido fluente, in vitreum operculum aſcendat, rejiciatur <lb/>humidum.</s> <s xml:id="echoid-s1382" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1383" xml:space="preserve">Sit fluxile A B C, <lb/> <anchor type="figure" xlink:label="fig-0074-01a" xlink:href="fig-0074-01"/> interſeptum diaphra-<lb/>gmate D E, & </s> <s xml:id="echoid-s1384" xml:space="preserve">ex D E <lb/>procedant duo tubi <lb/>F G H K, quorum <lb/>F G extra deferatur, & </s> <s xml:id="echoid-s1385" xml:space="preserve"><lb/>H K intra. </s> <s xml:id="echoid-s1386" xml:space="preserve">Hoc autem <lb/>comprehendat vitreum <lb/>operculum M N: </s> <s xml:id="echoid-s1387" xml:space="preserve">Sit-<lb/>quein diaphragmate ex <lb/>vitreo operculo ſpira-<lb/>culum X, per quod a-<lb/>qua infundatur. </s> <s xml:id="echoid-s1388" xml:space="preserve">Itaque <lb/>repleto fluxili per <lb/>dictum ſpiraculum, ſi-<lb/>mul implebitur & </s> <s xml:id="echoid-s1389" xml:space="preserve">tu-<lb/>bus H K, & </s> <s xml:id="echoid-s1390" xml:space="preserve">humidum <lb/>in vitreum operculum <lb/>aſcendet, ita ut per tu-<lb/>bum F G extra feratur. <lb/></s> <s xml:id="echoid-s1391" xml:space="preserve">Eritque ſiphonis inflexi <lb/>ordo, cujus minus qui-<lb/>dem crus H K, majus <lb/>vero F G. </s> <s xml:id="echoid-s1392" xml:space="preserve">Quare at-<lb/>trahet humidum, quod <lb/>eft in fluxili aſcendens <lb/>in vitreum operculum; </s> <s xml:id="echoid-s1393" xml:space="preserve"><lb/>prius autem aërem attrahet, quod humido ſit levior, & </s> <s xml:id="echoid-s1394" xml:space="preserve">in locum aëre <lb/>exinanitum humidum aſcendens apparebit: </s> <s xml:id="echoid-s1395" xml:space="preserve">propriaque gravitate deorſum <lb/>feretur. </s> <s xml:id="echoid-s1396" xml:space="preserve">Etenim præter naturam ipſi ineſt latio in ſuperiorem locum.</s> <s xml:id="echoid-s1397" xml:space="preserve"/> </p> <div xml:id="echoid-div93" type="float" level="2" n="1"> <figure xlink:label="fig-0074-01" xlink:href="fig-0074-01a"> <image file="0074-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0074-01"/> </figure> </div> <pb o="69" file="0075" n="75" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div95" type="section" level="1" n="61"> <head xml:id="echoid-head67" xml:space="preserve">LIII.</head> <p> <s xml:id="echoid-s1398" xml:space="preserve">Eſt etiam alia conſtructio, in qua humidum ſenſim fer-<lb/>tur, & </s> <s xml:id="echoid-s1399" xml:space="preserve">manet, ita ut ſemper aſcendens videatur.</s> <s xml:id="echoid-s1400" xml:space="preserve"/> </p> <figure> <image file="0075-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0075-01"/> </figure> <p> <s xml:id="echoid-s1401" xml:space="preserve">Sit baſis A B undique præ-<lb/>cluſa, quæ diaphragma habeat <lb/>C D: </s> <s xml:id="echoid-s1402" xml:space="preserve">& </s> <s xml:id="echoid-s1403" xml:space="preserve">vitreum operculum <lb/>cylindri forma EF ſimiliter <lb/>undique præcluſum. </s> <s xml:id="echoid-s1404" xml:space="preserve">In oper-<lb/>culo autem EF ſit tubus G H <lb/>ab ipſius tecto parum diſtans, <lb/>& </s> <s xml:id="echoid-s1405" xml:space="preserve">ſimul perforatus cum dia-<lb/>phragmate. </s> <s xml:id="echoid-s1406" xml:space="preserve">Alius etiam tubus <lb/>KL ſimul perforetur cum tecto <lb/>baſis: </s> <s xml:id="echoid-s1407" xml:space="preserve">& </s> <s xml:id="echoid-s1408" xml:space="preserve">à diaphragmate parum <lb/>diſtet. </s> <s xml:id="echoid-s1409" xml:space="preserve">Inſit autem baſi extra <lb/>vitreum operculum foramen <lb/>M, per quod vas A D implea-<lb/>tur. </s> <s xml:id="echoid-s1410" xml:space="preserve">Et baſis A B ad fundum <lb/>canalem habeat N. </s> <s xml:id="echoid-s1411" xml:space="preserve">Sit præter-<lb/>ea alius tubus X O ſimul per-<lb/>foratus cum diaphragmate; <lb/></s> <s xml:id="echoid-s1412" xml:space="preserve">parumque à baſi diſtans, per <lb/>quod implebitur vas C B. </s> <s xml:id="echoid-s1413" xml:space="preserve">Ita-<lb/>que obſtructo canali N, aër, <lb/>qui eſt in C B per tubos. </s> <s xml:id="echoid-s1414" xml:space="preserve">& </s> <s xml:id="echoid-s1415" xml:space="preserve">per <lb/>foramen M excedet extra. </s> <s xml:id="echoid-s1416" xml:space="preserve">& </s> <s xml:id="echoid-s1417" xml:space="preserve"><lb/>cum vas C B repletum fuerit, <lb/>implebimus A D per foramen <lb/>M. </s> <s xml:id="echoid-s1418" xml:space="preserve">Aër enim, qui in ipſo eſt <lb/>per idem foramen excedit. </s> <s xml:id="echoid-s1419" xml:space="preserve">Si igitur canalem N fluere dimittamus, in <lb/>locum C B exinanitum aër ex vitreo operculo procedet per tubum G H. </s> <s xml:id="echoid-s1420" xml:space="preserve"><lb/>In locum autem vitrei exinanitum ex A D humidum aſcendet per tubum <lb/>KL, & </s> <s xml:id="echoid-s1421" xml:space="preserve">aër per foramen Mingredietur. </s> <s xml:id="echoid-s1422" xml:space="preserve">Atque hoc uſque eo fiet, quoad <lb/>vitr@eum operculum repletum fuerit. </s> <s xml:id="echoid-s1423" xml:space="preserve">Oportebit autem loca A D C B <lb/>E Finter ſe æqualia eſſe, ut ad invicem & </s> <s xml:id="echoid-s1424" xml:space="preserve">aër, & </s> <s xml:id="echoid-s1425" xml:space="preserve">humidum transferantur. </s> <s xml:id="echoid-s1426" xml:space="preserve"><lb/>Quando autem vas C B exinanitum fuerit, & </s> <s xml:id="echoid-s1427" xml:space="preserve">conſtiterit aëris continui-<lb/>tas, rurſus ex vitreo operculo, aqua in vas A D deferetur, aëre per <lb/>canalem N, & </s> <s xml:id="echoid-s1428" xml:space="preserve">per GH tubum in vitreum operculum ingrediente. </s> <s xml:id="echoid-s1429" xml:space="preserve">Qui <lb/>vero eſt in vaſe AD aër per foramen M excedet.</s> <s xml:id="echoid-s1430" xml:space="preserve"/> </p> <pb o="70" file="0076" n="76" rhead="HERONIS"/> </div> <div xml:id="echoid-div96" type="section" level="1" n="62"> <head xml:id="echoid-head68" xml:space="preserve">LIV.</head> <p> <s xml:id="echoid-s1431" xml:space="preserve">Quædam animalia per os inflata exalio loco aquam ex-<lb/>puunt. </s> <s xml:id="echoid-s1432" xml:space="preserve">Ut ſi ſatyriſcus utr@m contineat, per utrem aqua <lb/>expuetur.</s> <s xml:id="echoid-s1433" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1434" xml:space="preserve">Sit baſis præcluſa A B C D, <lb/> <anchor type="figure" xlink:label="fig-0076-01a" xlink:href="fig-0076-01"/> in qua animal inſideat, & </s> <s xml:id="echoid-s1435" xml:space="preserve">per <lb/>os animalis tubus impellatur <lb/>E F, ſimul cum baſi perfora-<lb/>tus; </s> <s xml:id="echoid-s1436" xml:space="preserve">habenſque ſubjectum pla-<lb/>tyſmation G H obturans tubi <lb/>foramen F, & </s> <s xml:id="echoid-s1437" xml:space="preserve">con tentum fibu-<lb/>lis retinacula habentibus. </s> <s xml:id="echoid-s1438" xml:space="preserve">Ita <lb/>ut non excidat; </s> <s xml:id="echoid-s1439" xml:space="preserve">alius autem tu-<lb/>bus K L per baſim impellatur, <lb/>cujus alterum quidem extre-<lb/>mum K apponatur ei, per quod <lb/>volumus aquam expui. </s> <s xml:id="echoid-s1440" xml:space="preserve">Alte-<lb/>rum vero L diſteta à fundo, <lb/>quantum ad aquæ fluxum ſatis <lb/>ſit, habeat autem K ſmeriſma-<lb/>tion tenue, quo ejus oſculum <lb/>claudatur: </s> <s xml:id="echoid-s1441" xml:space="preserve">infuſo igitur in ba-<lb/>ſim humido per quoddam fo-<lb/>ramen, quod poſt infuſionem <lb/>obturetur, ſi claudentes oſcu-<lb/>lum aërem inſpirabimus per <lb/>tubum E F, inſpiratus aër im-<lb/>pellet platyſmation, & </s> <s xml:id="echoid-s1442" xml:space="preserve">in baſi aër continebitur platyſmation occludens. <lb/></s> <s xml:id="echoid-s1443" xml:space="preserve">Itaque ſublato ſmeriſmatio paulo poſt aër compreſſus humidum, quod <lb/>eſt in baſi per oſ culum K magnavi extrudet, quoad totum ejiciatur, & </s> <s xml:id="echoid-s1444" xml:space="preserve"><lb/>aër in propriam redeat naturam, hoc eſt compreſſionem in ſeipſo non <lb/>amplius habeat.</s> <s xml:id="echoid-s1445" xml:space="preserve"/> </p> <div xml:id="echoid-div96" type="float" level="2" n="1"> <figure xlink:label="fig-0076-01" xlink:href="fig-0076-01a"> <image file="0076-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0076-01"/> </figure> </div> <pb o="71" file="0077" n="77" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div98" type="section" level="1" n="63"> <head xml:id="echoid-head69" xml:space="preserve">LV.</head> <p> <s xml:id="echoid-s1446" xml:space="preserve">Quædam vaſa à principio humore injecto fluunt, inter-<lb/>miſſione vero ſacta non amplius fluunt injecto humore, <lb/>quouſque ad dimidium repleta fuerint. </s> <s xml:id="echoid-s1447" xml:space="preserve">Tunc enim inci-<lb/>piunt fluere. </s> <s xml:id="echoid-s1448" xml:space="preserve">At intermiſſione facta non amplius fluunt <lb/>quouſque impleantur.</s> <s xml:id="echoid-s1449" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1450" xml:space="preserve">Sit enim vas A B, ha-<lb/> <anchor type="figure" xlink:label="fig-0077-01a" xlink:href="fig-0077-01"/> bens in ſeipſo tres ſipho-<lb/>nes inflexos C D E, in ven-<lb/>tre occultatos, quorum al-<lb/>tera quidem crura ſint ad <lb/>fundum vaſis, altera vero <lb/>extra ferantur in canales <lb/>efformata: </s> <s xml:id="echoid-s1451" xml:space="preserve">atque eorum ex-<lb/>tremis apponantur vaſa <lb/>F H G quorum fundum <lb/>diſtetab oſculis, quantum <lb/>ad aquæ fluxum ſatis ſit. <lb/></s> <s xml:id="echoid-s1452" xml:space="preserve">Omnia vero comprehen-<lb/>dantur alio quodam vaſe, <lb/>tamquam baſi KLMN, quæ <lb/>canalem X habeat. </s> <s xml:id="echoid-s1453" xml:space="preserve">Et ſi-<lb/>phonis quidem C curvitas <lb/>ſit ad fundum vaſis; </s> <s xml:id="echoid-s1454" xml:space="preserve">ſiphonis <lb/>vero D curvitas ad dimi-<lb/>dium altitudinis ejus, & </s> <s xml:id="echoid-s1455" xml:space="preserve"><lb/>ſiphonis E ad ipſum collum. </s> <s xml:id="echoid-s1456" xml:space="preserve"><lb/>Siigitur in vas A B aquam <lb/>infundamus, à principio <lb/>quidem fiuet per ſiphonem <lb/>C, quoniam curvitas ipſius <lb/>eſt ad fundum. </s> <s xml:id="echoid-s1457" xml:space="preserve">Quodſi in-<lb/>termittamus, evacuabitur humidum infuſum per canalem X: </s> <s xml:id="echoid-s1458" xml:space="preserve">& </s> <s xml:id="echoid-s1459" xml:space="preserve">vas F <lb/>relinquetur aqua plenum: </s> <s xml:id="echoid-s1460" xml:space="preserve">ſiphonis vero C reliqua pars aëre repleta erit. </s> <s xml:id="echoid-s1461" xml:space="preserve"><lb/>Rurſus cum aquam infundamus, non procedet per ſiphonem C, propter-<lb/>ea quod aër in eo continetur inter aquam infuſam, & </s> <s xml:id="echoid-s1462" xml:space="preserve">eam, quæ eſt in <lb/>vaſe F. </s> <s xml:id="echoid-s1463" xml:space="preserve">Aſcendet ergo humidum uſque ad ſiphonis D curvitatem, quæ <lb/>eſt ad dimidium altitudinis vaſis, & </s> <s xml:id="echoid-s1464" xml:space="preserve">tunc fluere incipiet. </s> <s xml:id="echoid-s1465" xml:space="preserve">Sed inter-<lb/>miſſionefacta rurſus idem continget, quod in ſiphone C jam dictum eſt.</s> <s xml:id="echoid-s1466" xml:space="preserve"> <pb o="72" file="0078" n="78" rhead="HERONIS"/> Eadem & </s> <s xml:id="echoid-s1467" xml:space="preserve">in ſiphone Eintelligantur. </s> <s xml:id="echoid-s1468" xml:space="preserve">Oportebit autem humidum ſenſim <lb/>infundere, ne aër, qui in ſiphonibus comprehenſus eſt, ſumma vi expel-<lb/>latur.</s> <s xml:id="echoid-s1469" xml:space="preserve"/> </p> <div xml:id="echoid-div98" type="float" level="2" n="1"> <figure xlink:label="fig-0077-01" xlink:href="fig-0077-01a"> <image file="0077-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0077-01"/> </figure> </div> </div> <div xml:id="echoid-div100" type="section" level="1" n="64"> <head xml:id="echoid-head70" xml:space="preserve">LVI.</head> <p> <s xml:id="echoid-s1470" xml:space="preserve">Cucurbitulæ conſtructio, quæ ſine igne attrahit.</s> <s xml:id="echoid-s1471" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1472" xml:space="preserve">Sit cucurbi-<lb/> <anchor type="figure" xlink:label="fig-0078-01a" xlink:href="fig-0078-01"/> tula A B C, <lb/>qualis fieri <lb/>conſuevit, ha-<lb/>bens in medi-<lb/>o diaphragma <lb/>DE: </s> <s xml:id="echoid-s1473" xml:space="preserve">& </s> <s xml:id="echoid-s1474" xml:space="preserve">per fun-<lb/>dum impella-<lb/>tur ſmeriſina, <lb/>cujus fiſtula <lb/>quidem exte-<lb/>rior ſit FG, in-<lb/>interior vero <lb/>H K, quæ fo-<lb/>ramina L M <lb/>ſibi ipſis reſ-<lb/>pondentia ha-<lb/>beant, extra <lb/>cucurbitulam <lb/>locata. </s> <s xml:id="echoid-s1475" xml:space="preserve">Oſcula <lb/>autem ipſarum <lb/>interiora aper-<lb/>ta ſint; </s> <s xml:id="echoid-s1476" xml:space="preserve">& </s> <s xml:id="echoid-s1477" xml:space="preserve">fiſtulæ H K exterius oſculum obturetur, epitoniumque habeat. <lb/></s> <s xml:id="echoid-s1478" xml:space="preserve">Sit præterea ſub D E diaphragmate aliud ſmeriſina N X ſimile ei, quod ad <lb/>fundum, habens foramina reſpondentia intra cucurbitulam; </s> <s xml:id="echoid-s1479" xml:space="preserve">& </s> <s xml:id="echoid-s1480" xml:space="preserve">ſimul per-<lb/>forata cum diaphragmate D E. </s> <s xml:id="echoid-s1481" xml:space="preserve">His conſtitutis convertantur epitonia <lb/>ſmeriſmaton, ita ut foramina, quæ ſunt ad fundum ſibi ipſis reſpondentia <lb/>ponantur; </s> <s xml:id="echoid-s1482" xml:space="preserve">quæ vero ſunt ſub diaphragmate permutentur, & </s> <s xml:id="echoid-s1483" xml:space="preserve">claudantur. </s> <s xml:id="echoid-s1484" xml:space="preserve"><lb/>Itaque cum vas DC aëre plenum ſit, admoventes ori foramina L M, doſſu-<lb/>mus aliquam aëris partem ſugere. </s> <s xml:id="echoid-s1485" xml:space="preserve">Poſtea rurſus convertentes epitonium, <lb/>& </s> <s xml:id="echoid-s1486" xml:space="preserve">non amoventes ab ore ſmeriſma habere rarefactum aërem, qui eſt in <lb/>vaſe C D. </s> <s xml:id="echoid-s1487" xml:space="preserve">Hoc igitur ſæpius faciemus, quoad multum aëris ſuxerimus. </s> <s xml:id="echoid-s1488" xml:space="preserve"><lb/>Deinde cucurbitulam carni apponentes, ut fieri ſolet, foramina, quæ ſunt <pb o="73" file="0079" n="79" rhead="SPIRITAL. LIBER."/> in ſmeriſmate N X per epitonium aperiemus. </s> <s xml:id="echoid-s1489" xml:space="preserve">Neceſſarium utique eſt in <lb/>locum C D vaſis tranſire aliquam partem aëris, qui eſt in vaſe A D E, & </s> <s xml:id="echoid-s1490" xml:space="preserve"><lb/>in locum exinanitum pro aëre tum carnem, tum materiam aquæ eſt circa <lb/>carnem attrahi per carnis raritates, quas occultos poros appellare con-<lb/>ſuevimus.</s> <s xml:id="echoid-s1491" xml:space="preserve"/> </p> <div xml:id="echoid-div100" type="float" level="2" n="1"> <figure xlink:label="fig-0078-01" xlink:href="fig-0078-01a"> <image file="0078-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0078-01"/> </figure> </div> </div> <div xml:id="echoid-div102" type="section" level="1" n="65"> <head xml:id="echoid-head71" xml:space="preserve">LVII.</head> <p> <s xml:id="echoid-s1492" xml:space="preserve">Et qui piulcus appellatur, hanc eandem ob cauſam agit.</s> <s xml:id="echoid-s1493" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1494" xml:space="preserve">Conſtruitur enim fiſtula <lb/> <anchor type="figure" xlink:label="fig-0079-01a" xlink:href="fig-0079-01"/> oblonga A B, cui altera CD <lb/>coaptata ſit. </s> <s xml:id="echoid-s1495" xml:space="preserve">Atque hujus <lb/>quidem extremum C lamina <lb/>operiatur. </s> <s xml:id="echoid-s1496" xml:space="preserve">Ad D vero ha-<lb/>beat epitonium E F: </s> <s xml:id="echoid-s1497" xml:space="preserve">& </s> <s xml:id="echoid-s1498" xml:space="preserve">fi-<lb/>ſtulæ A B oſculum, quod ad <lb/>A obturetur lamina, quæ <lb/>habeat tenuem ſyringulam <lb/>G H perforatam. </s> <s xml:id="echoid-s1499" xml:space="preserve">Quando <lb/>igitur pus attrahere volumus, <lb/>apponentes loco in quo eſt <lb/>pus extremum ſyringulæ oſ-<lb/>culum H, attrahimus fiſtu-<lb/>lam C D per epitonium ad <lb/>partes exteriores. </s> <s xml:id="echoid-s1500" xml:space="preserve">Etloco, <lb/>qui eſt in fiſtula exinanito, <lb/>in hunc aliquod aliud neceſ-<lb/>ſario attrahitur. </s> <s xml:id="echoid-s1501" xml:space="preserve">Quod cum <lb/>non ſit alius locus, niſi ſy-<lb/>ringulæ oſculum. </s> <s xml:id="echoid-s1502" xml:space="preserve">Neceſſe <lb/>eſt per hoc appoſitum, ac <lb/>propinquum humidum at-<lb/>trahi. </s> <s xml:id="echoid-s1503" xml:space="preserve">Rurſus quando volu-<lb/>mus aliquod humidum im-<lb/>mittere, injicientes ipſum <lb/>in fiſtulam A B, compre-<lb/>hendentesque E F & </s> <s xml:id="echoid-s1504" xml:space="preserve">fiſtu-<lb/>lam C D impellentes expri-<lb/>memus, quoad nobis immiſ-<lb/>ſio neceſſaria videatur.</s> <s xml:id="echoid-s1505" xml:space="preserve"/> </p> <div xml:id="echoid-div102" type="float" level="2" n="1"> <figure xlink:label="fig-0079-01" xlink:href="fig-0079-01a"> <image file="0079-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0079-01"/> </figure> </div> <pb o="74" file="0080" n="80" rhead="HERONIS"/> </div> <div xml:id="echoid-div104" type="section" level="1" n="66"> <head xml:id="echoid-head72" xml:space="preserve">LVIII.</head> <p> <s xml:id="echoid-s1506" xml:space="preserve">Si vas aliquod vino repletum ſit, habeatque canalem <lb/>fluentem, quando cyathum aquæ in collum infundamus, non <lb/>amplius fluet. </s> <s xml:id="echoid-s1507" xml:space="preserve">Si vero infundamus alterum cyathum tunc <lb/>fluet ipſe una cum priori, hoc eſt duo cyathi aquæ ex aliis <lb/>duobus canalibus. </s> <s xml:id="echoid-s1508" xml:space="preserve">Et poſteaquam aqua effluxerit, rurſus <lb/>fluet vinum ex medio canali. </s> <s xml:id="echoid-s1509" xml:space="preserve">Idque tamdiu fiet, quoad <lb/>totum vinum effluxerit.</s> <s xml:id="echoid-s1510" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1511" xml:space="preserve">Sit vas aliquod <lb/> <anchor type="figure" xlink:label="fig-0080-01a" xlink:href="fig-0080-01"/> A B, circa fundum <lb/>canalem habens C, <lb/>& </s> <s xml:id="echoid-s1512" xml:space="preserve">ſepiatur circa col-<lb/>lum diaphragmate <lb/>D E: </s> <s xml:id="echoid-s1513" xml:space="preserve">per diaphra-<lb/>gma vero produca-<lb/>tur F G tubus, circa <lb/>quem alius aptetur, <lb/>diſtans à diaphra-<lb/>gmate, quantum ad <lb/>aquæ fluxum ſatis <lb/>ſit, quemadmodum <lb/>in ſuffocatis ſipho-<lb/>nibus. </s> <s xml:id="echoid-s1514" xml:space="preserve">Impellatur <lb/>etiam per diaphra-<lb/>gma alius tubus HK <lb/>in ſuperiorem ejus <lb/>partem minus exce-<lb/>dens, quam prior; <lb/></s> <s xml:id="echoid-s1515" xml:space="preserve">atque in duos cana-<lb/>les L M diviſus; </s> <s xml:id="echoid-s1516" xml:space="preserve"><lb/>circa quem alius tu-<lb/>bus aptetur, à dia-<lb/>phragmate parum <lb/>diſtans. </s> <s xml:id="echoid-s1517" xml:space="preserve">Habeat au-<lb/>tem vas ſpiraculum <lb/>N ſub diaphragmate. </s> <s xml:id="echoid-s1518" xml:space="preserve">Si igitur comprehendentes canalem vinum infun-<lb/>damus, procedet id in ventrem vaſis per tubum F G; </s> <s xml:id="echoid-s1519" xml:space="preserve">aer enim per ſpiracu- <pb o="75" file="0081" n="81" rhead="SPIRITAL. LIBER."/> lum N egredietur. </s> <s xml:id="echoid-s1520" xml:space="preserve">Quod ſi dimiſſis canalibus, comprehendamus ſpiracu-<lb/>lum, ex ipſis quidem L M fluet humidum, quod in tubo H K continetur: <lb/></s> <s xml:id="echoid-s1521" xml:space="preserve">ex C vero humidum, quod eſt in ventre effluet. </s> <s xml:id="echoid-s1522" xml:space="preserve">Ergo ſi fluente C canale <lb/>aquæ cyathum in diaphragma infundamus, aër non amplius ingredietur <lb/>per canalem F G, ideoque canalis C fluere deſinet. </s> <s xml:id="echoid-s1523" xml:space="preserve">Si vero infundamus <lb/>alterum cyathum, aqua ſupra tubum H K extolletur, & </s> <s xml:id="echoid-s1524" xml:space="preserve">per ipſum procedit <lb/>in canales L M, totaque demum exhaurietur. </s> <s xml:id="echoid-s1525" xml:space="preserve">Poſtea tubus F G reſpira-<lb/>tionem aſſumens canaiem C ſimiliter fluere coget. </s> <s xml:id="echoid-s1526" xml:space="preserve">Atque hoc uſque eo <lb/>fiet, quoad cyathos infundamus.</s> <s xml:id="echoid-s1527" xml:space="preserve"/> </p> <div xml:id="echoid-div104" type="float" level="2" n="1"> <figure xlink:label="fig-0080-01" xlink:href="fig-0080-01a"> <image file="0080-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0080-01"/> </figure> </div> </div> <div xml:id="echoid-div106" type="section" level="1" n="67"> <head xml:id="echoid-head73" xml:space="preserve">LIX.</head> <p> <s xml:id="echoid-s1528" xml:space="preserve">Si vas mero plenum exiſtat, canalemque habeat, inter-<lb/>dum quidem fluet vinum, aqua vero infuſa, pura aqua <lb/>fluet. </s> <s xml:id="echoid-s1529" xml:space="preserve">Poſtea rurſus vinum, & </s> <s xml:id="echoid-s1530" xml:space="preserve">ſi quis velit, aqua infuſa <lb/>mixtum effundetur.</s> <s xml:id="echoid-s1531" xml:space="preserve"/> </p> <figure> <image file="0081-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0081-01"/> </figure> <p> <s xml:id="echoid-s1532" xml:space="preserve">Sit vas aliquod A B, circa col-<lb/>lum diaphragma habens C D, & </s> <s xml:id="echoid-s1533" xml:space="preserve"><lb/>per diaphragma impellatur tubus <lb/>E F, extra fundum tendens, qui <lb/>canalis inſtar erit. </s> <s xml:id="echoid-s1534" xml:space="preserve">Habeat autem <lb/>tubus E F parvum foramen G in-<lb/>tra vas, videlicet juxta fundum, <lb/>& </s> <s xml:id="echoid-s1535" xml:space="preserve">infra collum ſit ſpiraculum H. <lb/></s> <s xml:id="echoid-s1536" xml:space="preserve">Si igitur canalem F comprehen-<lb/>dentes vinum infundamus, in ven-<lb/>trem procedet, aëre per ſpiracu-<lb/>lum H excedente. </s> <s xml:id="echoid-s1537" xml:space="preserve">Quod ſi com-<lb/>prehendentes ſpiraculum canalem <lb/>dimittamus, non fluet niſi quod <lb/>in tubo F E continetur. </s> <s xml:id="echoid-s1538" xml:space="preserve">Itaque <lb/>ſi infundamus aquam puram, ea <lb/>exibit, at ſi ſpiraculum dimittamus <lb/>mixtum, ſi vero non amplius in-<lb/>fundamus, vinum purum effluet.</s> <s xml:id="echoid-s1539" xml:space="preserve"/> </p> <pb o="76" file="0082" n="82" rhead="HERONIS"/> </div> <div xml:id="echoid-div107" type="section" level="1" n="68"> <head xml:id="echoid-head74" xml:space="preserve">LX.</head> <p> <s xml:id="echoid-s1540" xml:space="preserve">Altari accenſo aſſiſtentia quidem animalia ſacrificare, <lb/>draconem vero ſibilare.</s> <s xml:id="echoid-s1541" xml:space="preserve"/> </p> <figure> <image file="0082-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0082-01"/> </figure> <p> <s xml:id="echoid-s1542" xml:space="preserve">Sit baſis quædam concava A B, in qua altare C, habens fiſtulam me-<lb/>diam ad baſim deſcendentem D E, quæ in tres tubos ſcindatur, in tubum <lb/>quidem E F ad os Draconis deferentem, in tubum vero E G H deferen-<lb/>tem ad vas K L vini receptaculum, cujus fundum ſit ſupra animal M: </s> <s xml:id="echoid-s1543" xml:space="preserve">ad-<lb/>junctumque cooperculo vaſis K L cancellatim. </s> <s xml:id="echoid-s1544" xml:space="preserve">Et in tubum E N X, qui <lb/>fimiliter aſcendat in alterum vas vini receptaculum O, & </s> <s xml:id="echoid-s1545" xml:space="preserve">ipſe cancellatim <lb/>cooperculo vaſis adjungatur. </s> <s xml:id="echoid-s1546" xml:space="preserve">Coarctentur autem & </s> <s xml:id="echoid-s1547" xml:space="preserve">utriſque fundis vaſo-<lb/>rum. </s> <s xml:id="echoid-s1548" xml:space="preserve">Et ſint in utriſque vini receptaculis inflexi ſiphones R S T Y, quo-<lb/>rum principia quidem in vino exiſtunt, extrema vero ſuffocabiliter proce-<lb/>dant per ſepta receptaculorum vini, in quibus fieri oportet libantes ani-<lb/>malium manus. </s> <s xml:id="echoid-s1549" xml:space="preserve">Quando igitur accenſurus es projicias in tubos puſillam <lb/>aquam, ut ne à ſiccitate ignis diſrumpentur, & </s> <s xml:id="echoid-s1550" xml:space="preserve">obſtrue omnia, ne difflent. <lb/></s> <s xml:id="echoid-s1551" xml:space="preserve">Itaque ignis ſpiritus aquæ commixtus per tubos ad cancellos aſcendet, & </s> <s xml:id="echoid-s1552" xml:space="preserve"><lb/>per ipſos vinum elidens ducit ad inflexos ſiphones R S T Y, ita ut cum <lb/>per manus animalium fluat, ea ſactificare videantur, quoad exuritur ara. </s> <s xml:id="echoid-s1553" xml:space="preserve"><lb/>Alter autem tubus ſpiritum deferens ad os Draconis, eum ſibilare faciet.</s> <s xml:id="echoid-s1554" xml:space="preserve"/> </p> <pb o="77" file="0083" n="83" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div108" type="section" level="1" n="69"> <head xml:id="echoid-head75" xml:space="preserve">LXI.</head> <p> <s xml:id="echoid-s1555" xml:space="preserve">Lucernæ conſtructio, ut ſi oleum diminutum ſit, in ac-<lb/>cenſione lucernæ aqua infuſa, lucerna oleo repleatur.</s> <s xml:id="echoid-s1556" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1557" xml:space="preserve">Sit ſub lucerna vas undi-<lb/> <anchor type="figure" xlink:label="fig-0083-01a" xlink:href="fig-0083-01"/> que præcluſum A B, ſive <lb/>ipſi conjunctum, ſive ſeor-<lb/>ſum poſitum, ex quo pro-<lb/>cedant duo tubi C D, E F <lb/>ſimul cum vaſe perforati. <lb/></s> <s xml:id="echoid-s1558" xml:space="preserve">Et oſculum tubi C à fundo <lb/>ejus tantum diſtet, quan-<lb/>tum ad aquæ fluxum ſa-<lb/>tis ſit. </s> <s xml:id="echoid-s1559" xml:space="preserve">Tubus autem C D <lb/>uſque ad ſuperficiem lu-<lb/>cernæ extendatur, phia-<lb/>lulam habens ad ejus ex-<lb/>tremum D, per quam aquæ <lb/>infufio erit: </s> <s xml:id="echoid-s1560" xml:space="preserve">& </s> <s xml:id="echoid-s1561" xml:space="preserve">Tubus E F <lb/>ſimul perforetur cum lu-<lb/>cernæ fundo. </s> <s xml:id="echoid-s1562" xml:space="preserve">Si igitur ali-<lb/>quis per umbilicum lucer-<lb/>næ oleum infundat, pri-<lb/>mum in vas A B procedet. </s> <s xml:id="echoid-s1563" xml:space="preserve"><lb/>Deinde eo repleto, reple-<lb/>buntur & </s> <s xml:id="echoid-s1564" xml:space="preserve">tubi C D, E F, <lb/>& </s> <s xml:id="echoid-s1565" xml:space="preserve">lucerna ipſa. </s> <s xml:id="echoid-s1566" xml:space="preserve">Itaque ar-<lb/>dens lucerna exinanietur: </s> <s xml:id="echoid-s1567" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s1568" xml:space="preserve">cum per phialulam, quæ eſt ad D aquam infundamus, deferetur in vas <lb/>A B, oleo mixta, oleum autem quod eſt in vaſe A B aſcendens replebit <lb/>partem lychni exinanitam quouſque oleum ad nares perveniat. </s> <s xml:id="echoid-s1569" xml:space="preserve">Poſtea <lb/>rurſus ſi ſubſideat oleum, idem faciendum eſt quoad oleum abſumatur. </s> <s xml:id="echoid-s1570" xml:space="preserve"><lb/>Quod ſi oporteat oleo adhuc in lucerna comprehenſo, auferre vas A B, <lb/>erit ſmeriſma quoddam in tubis C D, E F ad @A B vas, & </s> <s xml:id="echoid-s1571" xml:space="preserve">ad lucernam <lb/>claviculæ, ita ut ipſis converſis contineatur oleum, & </s> <s xml:id="echoid-s1572" xml:space="preserve">quod in lucerna <lb/>eſt, & </s> <s xml:id="echoid-s1573" xml:space="preserve">quod in tubis, & </s> <s xml:id="echoid-s1574" xml:space="preserve">ita vas exemptile erit. </s> <s xml:id="echoid-s1575" xml:space="preserve">Et quando volumus rur-<lb/>ſus iiſdem appoſitis claviculas aperiemus. </s> <s xml:id="echoid-s1576" xml:space="preserve">Melius autem eſt tubum quidem <lb/>E F in aurem lucernæ ferri, tubum vero C D paululum poſt aurem, ſub- <pb o="78" file="0084" n="84" rhead="HERONIS"/> limius habens appoſitum aliquod vas inſtar phialæ, ſimul cum eo per-<lb/>foratum, per quod aqua infundetur, ut eodem tempore & </s> <s xml:id="echoid-s1577" xml:space="preserve">infundatur <lb/>aqua, & </s> <s xml:id="echoid-s1578" xml:space="preserve">ex aure oleum influat.</s> <s xml:id="echoid-s1579" xml:space="preserve"/> </p> <div xml:id="echoid-div108" type="float" level="2" n="1"> <figure xlink:label="fig-0083-01" xlink:href="fig-0083-01a"> <image file="0083-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0083-01"/> </figure> </div> </div> <div xml:id="echoid-div110" type="section" level="1" n="70"> <head xml:id="echoid-head76" xml:space="preserve">LXII.</head> <p> <s xml:id="echoid-s1580" xml:space="preserve">Vaſe exiſtente præcluſo, & </s> <s xml:id="echoid-s1581" xml:space="preserve">canalem apertum habente cui <lb/>ſubjicitur poculum aqua plenum, ſi quis poculum ſubtrahat, <lb/>parum fluet canalis quouſque poculum ſit ſubtractum. </s> <s xml:id="echoid-s1582" xml:space="preserve">Sur-<lb/>ſum autem impulſo poculo canalis non amplius fluet.</s> <s xml:id="echoid-s1583" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1584" xml:space="preserve">Sit dictum vas A B <lb/> <anchor type="figure" xlink:label="fig-0084-01a" xlink:href="fig-0084-01"/> collum habens inter-<lb/>ſeptum diaphragmate <lb/>C D. </s> <s xml:id="echoid-s1585" xml:space="preserve">Ex C D vero <lb/>tubus producatur E F <lb/>ſimul cum ipſo perfo-<lb/>ratus, circa quem po-<lb/>natur tubus K L, ita <lb/>ut ſit ſuffocatus dia-<lb/>betes. </s> <s xml:id="echoid-s1586" xml:space="preserve">Et cum ipſo <lb/>K L ſimul perforetur <lb/>alius tubus M N, oſ-<lb/>culum M apertum ha-<lb/>bens. </s> <s xml:id="echoid-s1587" xml:space="preserve">Ejus autem crus <lb/>exterius ſit in quodam <lb/>poculo O X, in quod <lb/>aquam infundamus <lb/>adeo, ut repleatur; </s> <s xml:id="echoid-s1588" xml:space="preserve">ſi-<lb/>mul vero replebitur <lb/>& </s> <s xml:id="echoid-s1589" xml:space="preserve">tubi crus, quod eſt <lb/>in poculo. </s> <s xml:id="echoid-s1590" xml:space="preserve">Infundatur <lb/>deinde in collum vaſis <lb/>A B puſilla aqua, ita <lb/>ut reſpirationem ob-<lb/>ſtruat. </s> <s xml:id="echoid-s1591" xml:space="preserve">Pleno igitur exiſtente vaſe A B non fluet P canalis, quamquam <lb/>ſit apertus, propterea quod aër ingreſſum non habet ob aquam in collum <lb/>infuſam. </s> <s xml:id="echoid-s1592" xml:space="preserve">At ſubtracto poculo neceſſe eſt aliquam partem cruris ſiphonis, <lb/>quod eſt in poculo exinaniri, In locum vero exinanitum attrahetur pro- <pb o="79" file="0085" n="85" rhead="SPIRITAL. LIBER."/> pinquus aër, atque hic infuſam in collum aquam ſimul attrahet, ita ut ſu-<lb/>peremineat oſculum F. </s> <s xml:id="echoid-s1593" xml:space="preserve">Ac propterea aëre ingreſſum habente canalis P <lb/>fluet, quouſque poculum ſurſum impulſum, faciat aquam, quæ eſt in col-<lb/>lo, reſpirationem obſtruere. </s> <s xml:id="echoid-s1594" xml:space="preserve">Rurſus enim in priorem locum reſtituetur, <lb/>& </s> <s xml:id="echoid-s1595" xml:space="preserve">non amplius fluet P canalis: </s> <s xml:id="echoid-s1596" xml:space="preserve">idque toties fiet, quoties ſubtrahitur, & </s> <s xml:id="echoid-s1597" xml:space="preserve"><lb/>offertur poculum. </s> <s xml:id="echoid-s1598" xml:space="preserve">Oportet autem non totum poculum ſubtrahi, ne to-<lb/>tum ſiphonis crus denudetur. </s> <s xml:id="echoid-s1599" xml:space="preserve">Itaque canalis M N conformetur in thyr-<lb/>ſum, & </s> <s xml:id="echoid-s1600" xml:space="preserve">R N circa ipſum ut ſpectaculum recte ſit diſpoſitum.</s> <s xml:id="echoid-s1601" xml:space="preserve"/> </p> <div xml:id="echoid-div110" type="float" level="2" n="1"> <figure xlink:label="fig-0084-01" xlink:href="fig-0084-01a"> <image file="0084-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0084-01"/> </figure> </div> </div> <div xml:id="echoid-div112" type="section" level="1" n="71"> <head xml:id="echoid-head77" xml:space="preserve">LXIII.</head> <p> <s xml:id="echoid-s1602" xml:space="preserve">Conſtructio lagenæ vociferantis, quando humidum ef-<lb/>fluat.</s> <s xml:id="echoid-s1603" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1604" xml:space="preserve">Sit deſcripta lagena col-<lb/> <anchor type="figure" xlink:label="fig-0085-01a" xlink:href="fig-0085-01"/> lum quidem obſtructum <lb/>habens diaphragmate A B, <lb/>os vero diaphragmate <lb/>C D: </s> <s xml:id="echoid-s1605" xml:space="preserve">& </s> <s xml:id="echoid-s1606" xml:space="preserve">per utraque dia-<lb/>phragmata producatur tu-<lb/>bus E F ſimul cum ipſis <lb/>perforatus. </s> <s xml:id="echoid-s1607" xml:space="preserve">Lagenæ autem <lb/>auricula ſit G H: </s> <s xml:id="echoid-s1608" xml:space="preserve">atque ex <lb/>altera parte ſit tubus K L <lb/>ſimul perforatus cum A B <lb/>diaphragmate & </s> <s xml:id="echoid-s1609" xml:space="preserve">ab ipſo <lb/>C D tantum diſtans, quan-<lb/>tum ad aquæ fluxum ſuffi-<lb/>ciat. </s> <s xml:id="echoid-s1610" xml:space="preserve">Ad diaphragma vero <lb/>C D ſit ſyringula M, quæ <lb/>vocem edere poſſit. </s> <s xml:id="echoid-s1611" xml:space="preserve">Ita-<lb/>que implebitur lagena per <lb/>tubum E F, aëre tum per <lb/>K L tubum, tum per ſy-<lb/>ringulam M excedente. <lb/></s> <s xml:id="echoid-s1612" xml:space="preserve">Quando igitur lagenæ au-<lb/>riculam detinentes reclina-<lb/>mus ita ut aqua effluat, <lb/>fluet quidem per tubum <lb/>E F in partes exteriores; </s> <s xml:id="echoid-s1613" xml:space="preserve"><lb/>per K L vero procedet in collum B C. </s> <s xml:id="echoid-s1614" xml:space="preserve">Et qui in ipſo eſt aër expulſus per <pb o="80" file="0086" n="86" rhead="HERONIS"/> ſyringulam Mvocem emittet. </s> <s xml:id="echoid-s1615" xml:space="preserve">Sit etiam in diaphragmate A B aliud fora-<lb/>men, per quod, lagena in rectum conſtituta, aër retrocedat.</s> <s xml:id="echoid-s1616" xml:space="preserve"/> </p> <div xml:id="echoid-div112" type="float" level="2" n="1"> <figure xlink:label="fig-0085-01" xlink:href="fig-0085-01a"> <image file="0085-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0085-01"/> </figure> </div> </div> <div xml:id="echoid-div114" type="section" level="1" n="72"> <head xml:id="echoid-head78" xml:space="preserve">LXIV.</head> <p> <s xml:id="echoid-s1617" xml:space="preserve">Si in aliqua baſi exiſtat vas, vinum habens, & </s> <s xml:id="echoid-s1618" xml:space="preserve">canalem <lb/>apertum, deducto pondere facere, utcanalisad menſuram <lb/>fluat, verbi gratia interdum quidem ſemicotylium, interdum <lb/>vero cotylium, & </s> <s xml:id="echoid-s1619" xml:space="preserve">generaliter quantum quis voluerit.</s> <s xml:id="echoid-s1620" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1621" xml:space="preserve">Sit vas A B, in <lb/> <anchor type="figure" xlink:label="fig-0086-01a" xlink:href="fig-0086-01"/> quod vinum infun-<lb/>datur. </s> <s xml:id="echoid-s1622" xml:space="preserve">Canalis au-<lb/>tem in ipſo juxta <lb/>fundum ſit D. </s> <s xml:id="echoid-s1623" xml:space="preserve">Et <lb/>obſtruatur collum <lb/>diaphragmate E F: <lb/></s> <s xml:id="echoid-s1624" xml:space="preserve">perque E F im-<lb/>peliatur GH tubus, <lb/>à fundo vaſis tan-<lb/>tum diſtans, quan-<lb/>tum ad aquæ flu-<lb/>xum ſatis ſit. </s> <s xml:id="echoid-s1625" xml:space="preserve">Baſis <lb/>autem vaſi ſubjecta <lb/>ſit K L M N. </s> <s xml:id="echoid-s1626" xml:space="preserve">Et <lb/>alter tubus X O pa-<lb/>rum diſtans à dia-<lb/>phragmate, & </s> <s xml:id="echoid-s1627" xml:space="preserve">per <lb/>baſim procedens. </s> <s xml:id="echoid-s1628" xml:space="preserve"><lb/>Sit præterea in baſi <lb/>aqua obſtruens oſ-<lb/>culum tubi X O: </s> <s xml:id="echoid-s1629" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s1630" xml:space="preserve">ſit regula P R, <lb/>cujus dimidium <lb/>quidem ſit intra ba-<lb/>ſim, dimidium ve-<lb/>ro extra. </s> <s xml:id="echoid-s1631" xml:space="preserve">Et moveatur circa punctum S, ſuſpendatur autem in extremo <lb/>regulæ P clepſydra, quæ foramen T in fundo habeat. </s> <s xml:id="echoid-s1632" xml:space="preserve">Itaque vas imple- <pb o="81" file="0087" n="87" rhead="SPIRITAL. LIBER."/> bimus per G H tubum antequam in baſim aqua infundatur, aëre per tu-<lb/>bum X O excedente. </s> <s xml:id="echoid-s1633" xml:space="preserve">Poſtea canalem comprehendentes per quoddam <lb/>foramen aquam in baſim infundemus, quouſque obſtruamus oſculum O, <lb/>& </s> <s xml:id="echoid-s1634" xml:space="preserve">canalem D dimittamus. </s> <s xml:id="echoid-s1635" xml:space="preserve">Manifeſtum igitur eſt vinum non fluere. </s> <s xml:id="echoid-s1636" xml:space="preserve">Pro-<lb/>pterea quod aër nulla ex parte ingredi poteſt. </s> <s xml:id="echoid-s1637" xml:space="preserve">Quando autem extremum <lb/>regulæ R deprimemus, pars aliqua clepſydræ ex aqua extolletur, & </s> <s xml:id="echoid-s1638" xml:space="preserve">denu-<lb/>data reſpiratione O<unsure/> fluet D canalis, quouſque ſublata in clepſydra aqua <lb/>effluens ipſam O reſpirationem obſtruat. </s> <s xml:id="echoid-s1639" xml:space="preserve">At ſi rurſus repleta clepſydra <lb/>extremum regulæ R pluſquam antea deprimatur longiori tempore effluet <lb/>ſublata in clepſydra aqua, & </s> <s xml:id="echoid-s1640" xml:space="preserve">ob id ex canali plus vini educetur. </s> <s xml:id="echoid-s1641" xml:space="preserve">Si vero <lb/>tota clepſydra extollatur, multo magis effluet. </s> <s xml:id="echoid-s1642" xml:space="preserve">Neigitur manu deprima-<lb/>mus extremum regulæ R, ſit quoddam pondus V in exteriori regulæ par-<lb/>te R Q delatum: </s> <s xml:id="echoid-s1643" xml:space="preserve">& </s> <s xml:id="echoid-s1644" xml:space="preserve">quando fuerit propè R totam extollet clepſydram, <lb/>quando vero remotius minus extollet. </s> <s xml:id="echoid-s1645" xml:space="preserve">Itaque experientia invenientes <lb/>menſuras, quas volumus canalem D fluere, inciſiones faciemus in regula <lb/>R Q, & </s> <s xml:id="echoid-s1646" xml:space="preserve">menſurarum deſcriptiones. </s> <s xml:id="echoid-s1647" xml:space="preserve">Quare cum volumus partem aliquam <lb/>effluere, adillas inciſiones pondus deducentes fluere dimittemus.</s> <s xml:id="echoid-s1648" xml:space="preserve"/> </p> <div xml:id="echoid-div114" type="float" level="2" n="1"> <figure xlink:label="fig-0086-01" xlink:href="fig-0086-01a"> <image file="0086-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0086-01"/> </figure> </div> <pb o="82" file="0088" n="88" rhead="HERONIS"/> </div> <div xml:id="echoid-div116" type="section" level="1" n="73"> <head xml:id="echoid-head79" xml:space="preserve">LXV.</head> <p> <s xml:id="echoid-s1649" xml:space="preserve">Fluxilis conſtructio, ita ut in principio quidem fluat <lb/>mixtum, quando autem voluerimus aqua infuſa, aqua ipſa <lb/>per ſe fluat, & </s> <s xml:id="echoid-s1650" xml:space="preserve">rurſus mixtum.</s> <s xml:id="echoid-s1651" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1652" xml:space="preserve">Sit fluxile A B, ob-<lb/> <anchor type="figure" xlink:label="fig-0088-01a" xlink:href="fig-0088-01"/> ſtructum habens col-<lb/>lum diaphragmate <lb/>C D, per quod tubus <lb/>E F impellatur in effu-<lb/>ſionem deferens, ha-<lb/>benſque parvum fora-<lb/>men G intra fluxile. <lb/></s> <s xml:id="echoid-s1653" xml:space="preserve">Sit autem in fluxili ſub <lb/>diaphragmate ſpiracu-<lb/>lum H. </s> <s xml:id="echoid-s1654" xml:space="preserve">Quando igi-<lb/>tur comprehendentes <lb/>effuſionem F mixtum <lb/>infundamus, procedit <lb/>in fluxile per foramen <lb/>G; </s> <s xml:id="echoid-s1655" xml:space="preserve">& </s> <s xml:id="echoid-s1656" xml:space="preserve">quando effu-<lb/>ſionem dimittamus, <lb/>fluet mixtum, aëre per <lb/>ſpiraculum H exce-<lb/>dente. </s> <s xml:id="echoid-s1657" xml:space="preserve">Quando autem <lb/>ſpiraculum H compre-<lb/>hendentes puram a-<lb/>quam infundamus, <lb/>mixtum quidem non <lb/>fluet, propterea quod <lb/>aër non habet ingreſ-<lb/>ſum, ſed pura aqua. </s> <s xml:id="echoid-s1658" xml:space="preserve">Et quando ſpiraculum dimittamus utraque fluent, <lb/>& </s> <s xml:id="echoid-s1659" xml:space="preserve">aqua, & </s> <s xml:id="echoid-s1660" xml:space="preserve">mixtum; </s> <s xml:id="echoid-s1661" xml:space="preserve">videlicet mixtum, quod rurſus ex utriſque gignitur.</s> <s xml:id="echoid-s1662" xml:space="preserve"/> </p> <div xml:id="echoid-div116" type="float" level="2" n="1"> <figure xlink:label="fig-0088-01" xlink:href="fig-0088-01a"> <image file="0088-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0088-01"/> </figure> </div> <pb o="83" file="0089" n="89" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div118" type="section" level="1" n="74"> <head xml:id="echoid-head80" xml:space="preserve">LXVI.</head> <p> <s xml:id="echoid-s1663" xml:space="preserve">Si vas in bafi exiftet, canalemque habeat ſupra fundum, <lb/>& </s> <s xml:id="echoid-s1664" xml:space="preserve">infuſa in ipſum aqua, interdum quidem puram aquam <lb/>fluere, interdum mixtum, interdum vero merum tantum.</s> <s xml:id="echoid-s1665" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1666" xml:space="preserve">Sit vas A B in baſi, canalem ha-<lb/> <anchor type="figure" xlink:label="fig-0089-01a" xlink:href="fig-0089-01"/> bens C D, cujus oſculum C ſit fu-<lb/>pra fundum vaſis. </s> <s xml:id="echoid-s1667" xml:space="preserve">obſtruatur autem <lb/>collum diaphragmate E F, per quod <lb/>tubus G H demittatur, parum exce-<lb/>dens diaphragma in partem ſuperio-<lb/>rem, & </s> <s xml:id="echoid-s1668" xml:space="preserve">à fundo diſtans quantum <lb/>ad aquæ fluxum ſufficiat. </s> <s xml:id="echoid-s1669" xml:space="preserve">Sit etiam <lb/>alter tubus K L ad ventrem vaſis <lb/>extra, cui vas meri ſubjiciatur K M. <lb/></s> <s xml:id="echoid-s1670" xml:space="preserve">ſit autem & </s> <s xml:id="echoid-s1671" xml:space="preserve">in diaphragmate tenue <lb/>foramen N. </s> <s xml:id="echoid-s1672" xml:space="preserve">His ita conſtitutis ſi in <lb/>vas aquam per collum infundamus, <lb/>pars quidem, quæ eſt circa exceſſum <lb/>tnbi in collo manet; </s> <s xml:id="echoid-s1673" xml:space="preserve">pars verò, quæ <lb/>ſupra exceſſum in vaſis alveum de-<lb/>fertur, quouſque ad tubi oſculum C <lb/>perveniat, & </s> <s xml:id="echoid-s1674" xml:space="preserve">ita pura effluet aqua. </s> <s xml:id="echoid-s1675" xml:space="preserve"><lb/>Quod cum canalis fluere cœperit, <lb/>quemadmodum in diabete ſimul attra <lb/>hetur, & </s> <s xml:id="echoid-s1676" xml:space="preserve">merum quod eſt in K M <lb/>vaſe, & </s> <s xml:id="echoid-s1677" xml:space="preserve">mixtum effluet. </s> <s xml:id="echoid-s1678" xml:space="preserve">Cum vero aqua conſumpta fuerit, folum fluet <lb/>merum, præterquam quod aqua, quæ eſt circa diaphragma E F ſimul attra <lb/>hetur. </s> <s xml:id="echoid-s1679" xml:space="preserve">Et cum dicta aqua per foramen N tota effluxerit, tunc aër ingre-<lb/>diens abrumpet continvitatem, & </s> <s xml:id="echoid-s1680" xml:space="preserve">nihil ampliusfluet.</s> <s xml:id="echoid-s1681" xml:space="preserve"/> </p> <div xml:id="echoid-div118" type="float" level="2" n="1"> <figure xlink:label="fig-0089-01" xlink:href="fig-0089-01a"> <image file="0089-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0089-01"/> </figure> </div> <pb o="84" file="0090" n="90" rhead="HERONIS"/> </div> <div xml:id="echoid-div120" type="section" level="1" n="75"> <head xml:id="echoid-head81" xml:space="preserve">LXVII.</head> <p> <s xml:id="echoid-s1682" xml:space="preserve">Si vas vino repletum ſit, canalemque habeat, cui pocu-<lb/>lum ſubjiciatur, ad menſuram datam vinum in poculum <lb/>influere.</s> <s xml:id="echoid-s1683" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1684" xml:space="preserve">Sit vas A B vinum <lb/> <anchor type="figure" xlink:label="fig-0090-01a" xlink:href="fig-0090-01"/> habens, & </s> <s xml:id="echoid-s1685" xml:space="preserve">C D ca-<lb/>nalem. </s> <s xml:id="echoid-s1686" xml:space="preserve">Oſculum vero <lb/>canalis, quod eſt ad <lb/>C ſuperficiem ſupe-<lb/>riorem ita levigatam <lb/>habeat, ut tympanulo <lb/>impoſito cohibeat a-<lb/>quam. </s> <s xml:id="echoid-s1687" xml:space="preserve">Sit autem re-<lb/>gula recta GH in au-<lb/>re compacta, à qua <lb/>alia K L moveatur. <lb/></s> <s xml:id="echoid-s1688" xml:space="preserve">Sit etiam alia re-<lb/>gula M N ſub baſi <lb/>vaſis, quæ movea-<lb/>tur circa X. </s> <s xml:id="echoid-s1689" xml:space="preserve">Duæ <lb/>præterea regulæ KO <lb/>L P affigantur, circa <lb/>clavos motæ, ita ut <lb/>ſublato tympanulo <lb/>E F aperiatur cana-<lb/>lis, humorque effluat. </s> <s xml:id="echoid-s1690" xml:space="preserve">Et rurſus demiſſo claudatur. </s> <s xml:id="echoid-s1691" xml:space="preserve">Imponatur ergo re-<lb/>gulæ M N poculum, in quod volumus ad menſuram humidum influere, <lb/>ſitque poculum R canali ſubjectum: </s> <s xml:id="echoid-s1692" xml:space="preserve">& </s> <s xml:id="echoid-s1693" xml:space="preserve">ſit pondus quoddam S, quod per <lb/>annulum deduci poſſit in regulæ exceſſu M O. </s> <s xml:id="echoid-s1694" xml:space="preserve">Itaque cum pondus de-<lb/>duxero ad partem M, aperietur canalis, & </s> <s xml:id="echoid-s1695" xml:space="preserve">humidum in poculum fluet. </s> <s xml:id="echoid-s1696" xml:space="preserve"><lb/>Rurſuſque gravato poculo pondus abnuet, & </s> <s xml:id="echoid-s1697" xml:space="preserve">claudet canalem. </s> <s xml:id="echoid-s1698" xml:space="preserve">Ut autem <lb/>ad menſuram fluat, injiciatur in poculum, exempli cauſſa, cotyle. </s> <s xml:id="echoid-s1699" xml:space="preserve">Quod <lb/>autem ex canali fluit in alio vaſe excipiemus, & </s> <s xml:id="echoid-s1700" xml:space="preserve">deducatur pondus quoad <lb/>primum non amplius fluat canalis, & </s> <s xml:id="echoid-s1701" xml:space="preserve">notetur in regula, inſcribaturque co-<lb/>tyle. </s> <s xml:id="echoid-s1702" xml:space="preserve">Similiter & </s> <s xml:id="echoid-s1703" xml:space="preserve">ſemicotyle, & </s> <s xml:id="echoid-s1704" xml:space="preserve">duæ cotylæ, & </s> <s xml:id="echoid-s1705" xml:space="preserve">quouſque volumus men-<lb/>ſuram procedere. </s> <s xml:id="echoid-s1706" xml:space="preserve">Eadem enim faciemus, & </s> <s xml:id="echoid-s1707" xml:space="preserve">habebimus menſurarum ſi-<lb/>gna, ſecundum quæ oportet deducta pondus menſuras aſſignare. </s> <s xml:id="echoid-s1708" xml:space="preserve">Poſſu-<lb/>mus autem pro tympanulo E F circumponere canali vas aliquod præclu-<lb/>ſum, ut ſeparato humido ab aëre, qui in eo eſt, canalis non amplius fluat.</s> <s xml:id="echoid-s1709" xml:space="preserve"/> </p> <div xml:id="echoid-div120" type="float" level="2" n="1"> <figure xlink:label="fig-0090-01" xlink:href="fig-0090-01a"> <image file="0090-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0090-01"/> </figure> </div> <pb o="85" file="0091" n="91" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div122" type="section" level="1" n="76"> <head xml:id="echoid-head82" xml:space="preserve">LXVIII.</head> <p> <s xml:id="echoid-s1710" xml:space="preserve">Vaſe vinum habente, canalemque & </s> <s xml:id="echoid-s1711" xml:space="preserve">ſubjectum ipſi cra-<lb/>terem, quantum quis ex cratere auferat, tantum in ipſum <lb/>ex canali vinum influere.</s> <s xml:id="echoid-s1712" xml:space="preserve"/> </p> <figure> <image file="0091-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0091-01"/> </figure> <p> <s xml:id="echoid-s1713" xml:space="preserve">Sit vini vas A B, canalis autem C D, habens E F tympanulum & </s> <s xml:id="echoid-s1714" xml:space="preserve">re-<lb/>gulas G H, K L, K O, L M, utin ſuperioribus, ſubjiciaturque canali po-<lb/>culum P, & </s> <s xml:id="echoid-s1715" xml:space="preserve">regulæ K O conjunctus ſit lebetulus R, exiſtens in vafe ST, <lb/>tubus autem Y V ſimul perforetur cum vaſis S T, P. </s> <s xml:id="echoid-s1716" xml:space="preserve">His ita conſtitutis, <lb/>& </s> <s xml:id="echoid-s1717" xml:space="preserve">vacuis exiftentibus vaſis P, S T, lebetulus R erit ad fundum S T vaſis, <lb/>& </s> <s xml:id="echoid-s1718" xml:space="preserve">canalem C D aperiet. </s> <s xml:id="echoid-s1719" xml:space="preserve">Fluente autem ipſo in utraque vaſa S T, P a-<lb/>ſcendens lebetulus rurſus canalem claudet, quouſque rurſus auferamus ex <lb/>cratere. </s> <s xml:id="echoid-s1720" xml:space="preserve">Atque hoc erit quotieſcumque vinum abſtulerimus.</s> <s xml:id="echoid-s1721" xml:space="preserve"/> </p> <pb o="86" file="0092" n="92" rhead="HERONIS"/> </div> <div xml:id="echoid-div123" type="section" level="1" n="77"> <head xml:id="echoid-head83" xml:space="preserve">LXIX.</head> <p> <s xml:id="echoid-s1722" xml:space="preserve">Theſauri conſtructio rotam habentis æneam, verſatilem, <lb/>quæ ἁ{γν}ι{ςή}{ρι}ον appellatur. </s> <s xml:id="echoid-s1723" xml:space="preserve">Hanc enim ad ſacra accedenter con-<lb/>vertere ſoliti ſunt. </s> <s xml:id="echoid-s1724" xml:space="preserve">Itaque contingit dum rota convertitur <lb/>melancoryphi vocem reddi, atque ipſam aviculam inſiſten-<lb/>tem converti. </s> <s xml:id="echoid-s1725" xml:space="preserve">Converſa autem ea melancory phum non am-<lb/>plius vocem emittere, neque converti.</s> <s xml:id="echoid-s1726" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1727" xml:space="preserve">Sit theſaurus ABCD, <lb/> <anchor type="figure" xlink:label="fig-0092-01a" xlink:href="fig-0092-01"/> & </s> <s xml:id="echoid-s1728" xml:space="preserve">axis in ipſo diſpoſitus <lb/>EF facile verſatilis. </s> <s xml:id="echoid-s1729" xml:space="preserve">Ei <lb/>vero conjungatur rota <lb/>HK, quam convertere <lb/>oportet. </s> <s xml:id="echoid-s1730" xml:space="preserve">Sint præterea <lb/>duæ rotæ LM eidem axi <lb/>intus conjunctæ, qua-<lb/>rum L quidem exeli-<lb/>ctram habeat, M vero <lb/>radiata ſit. </s> <s xml:id="echoid-s1731" xml:space="preserve">Circa exeli-<lb/>ctram funis involvatur. <lb/></s> <s xml:id="echoid-s1732" xml:space="preserve">à cujus extremo ſuſpen-<lb/>datur clibanus N, tu-<lb/>bum habens X O, & </s> <s xml:id="echoid-s1733" xml:space="preserve">in <lb/>ſummitate ſyringulam, <lb/>quæ melancoryphi vo-<lb/>cem reddat. </s> <s xml:id="echoid-s1734" xml:space="preserve">Subjiciatur <lb/>autem clibano aquæ vas <lb/>P R. </s> <s xml:id="echoid-s1735" xml:space="preserve">Et à vertice the-<lb/>ſauri demittatur axicu-<lb/>lus S T, qui facile con-<lb/>verti poffit. </s> <s xml:id="echoid-s1736" xml:space="preserve">Habeatque ad S melancoryphum, ad T vero tympanum ra-<lb/>diatur, cujus radii radiis tympani Mimplicentur. </s> <s xml:id="echoid-s1737" xml:space="preserve">Continget igitur con-<lb/>verſa rota HK, funem circa exelictram involvi, & </s> <s xml:id="echoid-s1738" xml:space="preserve">clibanum ſuſtinere. </s> <s xml:id="echoid-s1739" xml:space="preserve"><lb/>At rota dimiſſa clibanum ob gravitatem deſcendens in aquam aëre expulſo <lb/>ſonum edere. </s> <s xml:id="echoid-s1740" xml:space="preserve">Simul vero & </s> <s xml:id="echoid-s1741" xml:space="preserve">melancoryphum converti ob converſionem <lb/>tympanorum.</s> <s xml:id="echoid-s1742" xml:space="preserve"/> </p> <div xml:id="echoid-div123" type="float" level="2" n="1"> <figure xlink:label="fig-0092-01" xlink:href="fig-0092-01a"> <image file="0092-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0092-01"/> </figure> </div> <pb o="87" file="0093" n="93" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div125" type="section" level="1" n="78"> <head xml:id="echoid-head84" xml:space="preserve">LXX.</head> <p> <s xml:id="echoid-s1743" xml:space="preserve">Aliqui in vaſa injecti ſiphones fluunt, quo ad vel vaſo <lb/>exinanita fuerint, vel aquæ ſuperficies extrinſeco ſiphonis <lb/>oſculo reſpondeat. </s> <s xml:id="echoid-s1744" xml:space="preserve">Et opus ſit fluente eo, cum volumus <lb/>non amplius fluere.</s> <s xml:id="echoid-s1745" xml:space="preserve"/> </p> <figure> <image file="0093-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0093-01"/> </figure> <p> <s xml:id="echoid-s1746" xml:space="preserve">Sit aliquod vas A B, in quo ſiphon C D E, habens intrinſecum crus <lb/>inflexum, ut C F G, Sit etiam regula recta infixa H K, ad quam alia con-<lb/>jungatur L M. </s> <s xml:id="echoid-s1747" xml:space="preserve">Rurfus ex L M alia regula moveatur in clavo, habens ad <lb/>N extremitatem vas, quod poſſit ſiphonis reflexionem F G circumire. <lb/></s> <s xml:id="echoid-s1748" xml:space="preserve">habeat autem regula L M pondus appenſum ad L, ut vas circumiens ſi-<lb/>phonis reflexionem ſupra oſculum ſit, & </s> <s xml:id="echoid-s1749" xml:space="preserve">fluat ſiphon. </s> <s xml:id="echoid-s1750" xml:space="preserve">At cum volumus <lb/>non amplius fluere, auferemus pondus, quod eſt ad L, ut vas, quod ad <lb/>N deferatur, & </s> <s xml:id="echoid-s1751" xml:space="preserve">reflexionem F G circum eat: </s> <s xml:id="echoid-s1752" xml:space="preserve">atque ita non amplius fluat <lb/>diabetes. </s> <s xml:id="echoid-s1753" xml:space="preserve">Quando autem volumus fluere, rurſus pondus appendemus.</s> <s xml:id="echoid-s1754" xml:space="preserve"/> </p> <pb o="88" file="0094" n="94" rhead="HERONIS"/> </div> <div xml:id="echoid-div126" type="section" level="1" n="79"> <head xml:id="echoid-head85" xml:space="preserve">LXXI.</head> <p> <s xml:id="echoid-s1755" xml:space="preserve">Si in ara aliqua accendatur ignis, animalia choreas ducere <lb/>videbuntur, etenim aræ perſpicuæ erunt, ſive vitreæ ſive <lb/>corneæ.</s> <s xml:id="echoid-s1756" xml:space="preserve"/> </p> <figure> <image file="0094-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0094-01"/> </figure> <p> <s xml:id="echoid-s1757" xml:space="preserve">Per epipyrum demittitur tubus ad baſim aræ, qui in cnodace verſa-<lb/>tur, & </s> <s xml:id="echoid-s1758" xml:space="preserve">à ſuperiori parte in fiſtula, quæ epipyro conjuncta ſit. </s> <s xml:id="echoid-s1759" xml:space="preserve">Habeat <lb/>autem tubus etiam alios tubulos inflexos, ſimulque perforatos, & </s> <s xml:id="echoid-s1760" xml:space="preserve">ipſi <lb/>conjunctos, qui inter ſeſe ſecundum diametrum diſponantur, atque in-<lb/>flexiones viciſſim teneant. </s> <s xml:id="echoid-s1761" xml:space="preserve">Habeat præterea tympanum ſibi annexum, <lb/>cui animalia choreas ducentia imponuntur. </s> <s xml:id="echoid-s1762" xml:space="preserve">Itaque igne accenſo calefactus <lb/>aër per fiſtulam in tubum procedit: </s> <s xml:id="echoid-s1763" xml:space="preserve">ex tubo autem per inflexos tubulos <lb/>expulſus, & </s> <s xml:id="echoid-s1764" xml:space="preserve">aræ alveo inhærens convertit tubum & </s> <s xml:id="echoid-s1765" xml:space="preserve">animalia quæ choreas <lb/>ducunt.</s> <s xml:id="echoid-s1766" xml:space="preserve"/> </p> <pb o="89" file="0095" n="95" rhead="SPIRITAL. LIBER."/> </div> <div xml:id="echoid-div127" type="section" level="1" n="80"> <head xml:id="echoid-head86" xml:space="preserve">LXXII.</head> <p> <s xml:id="echoid-s1767" xml:space="preserve">Lucernæ conſtructio ut ellychnio impoſito, quando <lb/>oleum deficiat, ex aure ejus oleum in ellychnium infunda-<lb/>tur, quantum quis voluerit, nullo ipſi appoſito vaſe, ex <lb/>quo oleum influat.</s> <s xml:id="echoid-s1768" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1769" xml:space="preserve">Conſtruatur lucerna baſim ha-<lb/> <anchor type="figure" xlink:label="fig-0095-01a" xlink:href="fig-0095-01"/> bens concavam, & </s> <s xml:id="echoid-s1770" xml:space="preserve">triangularem in-<lb/>ftar pyramidis. </s> <s xml:id="echoid-s1771" xml:space="preserve">Sitque baſis concava <lb/>A B C D, & </s> <s xml:id="echoid-s1772" xml:space="preserve">in ea diaphrag ma E F. <lb/></s> <s xml:id="echoid-s1773" xml:space="preserve">Lucernæ autem caulis ſit G H & </s> <s xml:id="echoid-s1774" xml:space="preserve">ipſe <lb/>concavus, ſupra quem ſit concavus <lb/>calathus K L plurimum olei conti-<lb/>nens: </s> <s xml:id="echoid-s1775" xml:space="preserve">& </s> <s xml:id="echoid-s1776" xml:space="preserve">ex diaphragmate E F proce-<lb/>det M N tubus, ſimul cum eo perfo-<lb/>ratus, tantum diſtans à calathi oper-<lb/>culo K L, in quo & </s> <s xml:id="echoid-s1777" xml:space="preserve">elly chniumim-<lb/>ponitur, quantum ad aëris exitum <lb/>ſufficiat. </s> <s xml:id="echoid-s1778" xml:space="preserve">Alius autem tubulus X O, <lb/>demittatur per operculum K L, di-<lb/>ſtans à fundo calathi, quantum ſatis <lb/>ſit ad aquæ fluxum, & </s> <s xml:id="echoid-s1779" xml:space="preserve">ex operculo <lb/>paululum excedens. </s> <s xml:id="echoid-s1780" xml:space="preserve">Exceſſui vero <lb/>aptetur alius tubulus P, habens ſu-<lb/>perius oſculum obſtructum qui per <lb/>fundum lychnii impulſus coaginen-<lb/>tetur lychno, ad tubum autem P ag-<lb/>glutinetur alius tubulus exilis pro-<lb/>cedens ad extremitatem auris, & </s> <s xml:id="echoid-s1781" xml:space="preserve">ſi-<lb/>mul cum ea perforetur, ut influat in concavitatem elly chnii, foramen ha-<lb/>bens quemadmodum & </s> <s xml:id="echoid-s1782" xml:space="preserve">alii. </s> <s xml:id="echoid-s1783" xml:space="preserve">Et ſub diaphragmate E F conglutinetur cla-<lb/>vicula deferens in locum CDEF, ita ut ſi aperiatur, aqua ex loco ABEF <lb/>in ipſum CDEF tranſeat. </s> <s xml:id="echoid-s1784" xml:space="preserve">Sit autem in operculo A B parvum foramen, <lb/>per quod locum A B E F implebimus aqua, & </s> <s xml:id="echoid-s1785" xml:space="preserve">qui in ipſo eſt aër per di- <pb o="90" file="0096" n="96" rhead="Heronis"/> ctum foramen excedet. </s> <s xml:id="echoid-s1786" xml:space="preserve">Itaque <lb/> <anchor type="figure" xlink:label="fig-0096-01a" xlink:href="fig-0096-01"/> ſublato ellychnio, calathum oleo <lb/>implebimus per tubum X O, <lb/>aëre per M N tubulum exce-<lb/>dente, & </s> <s xml:id="echoid-s1787" xml:space="preserve">adhuc per clavem aper-<lb/>tam, quæ eſt in fundo CD, quan-<lb/>do & </s> <s xml:id="echoid-s1788" xml:space="preserve">quæ eſt in C D E F aqua <lb/>effluet. </s> <s xml:id="echoid-s1789" xml:space="preserve">Impoſito igitur ellychnio <lb/>per ſmeriſma P, quando opus ſit <lb/>oleum infundere, aperiemus cla-<lb/>vem quæ in fundo C D, & </s> <s xml:id="echoid-s1790" xml:space="preserve">aqua <lb/>ex loco ABEF in locum CDEF <lb/>ſecedente, aër, qui eſt in ipſo per <lb/>tubum M N ad calathum perve-<lb/>niens elidet oleum. </s> <s xml:id="echoid-s1791" xml:space="preserve">Quod qui-<lb/>dem per tubulum X O, & </s> <s xml:id="echoid-s1792" xml:space="preserve">per <lb/>alium ipſi cohærentem ad ellych-<lb/>nium procedet. </s> <s xml:id="echoid-s1793" xml:space="preserve">Quando autem <lb/>non amplius fluere volumus cla-<lb/>vicula claudetur, & </s> <s xml:id="echoid-s1794" xml:space="preserve">ceſſabit, & </s> <s xml:id="echoid-s1795" xml:space="preserve"><lb/>rurſus quando opus ſit, idem fa-<lb/>ciemus.</s> <s xml:id="echoid-s1796" xml:space="preserve"/> </p> <div xml:id="echoid-div127" type="float" level="2" n="1"> <figure xlink:label="fig-0095-01" xlink:href="fig-0095-01a"> <image file="0095-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0095-01"/> </figure> <figure xlink:label="fig-0096-01" xlink:href="fig-0096-01a"> <image file="0096-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0096-01"/> </figure> </div> <p> <s xml:id="echoid-s1797" xml:space="preserve">Poſſumus etiam in eadem de-<lb/>ſcriptione alia ratione expeditius, <lb/>ſi baſis fabricetur in qua erat aqua. <lb/></s> <s xml:id="echoid-s1798" xml:space="preserve">Alia quidem eadem ſint præter <lb/>baſim, & </s> <s xml:id="echoid-s1799" xml:space="preserve">aquam, quæ in ea continetur. </s> <s xml:id="echoid-s1800" xml:space="preserve">Tubus autem M N habeat ofcu-<lb/>lum N ſimul perforatum cum caulis alveo, ita ut extra caulem appareat, <lb/>& </s> <s xml:id="echoid-s1801" xml:space="preserve">obturetur. </s> <s xml:id="echoid-s1802" xml:space="preserve">Si quisigitur os admovens inflet oſculum exterius, proce-<lb/>det flatus in calathum, oleumque per tubum X O exprimet, & </s> <s xml:id="echoid-s1803" xml:space="preserve">erit idem, <lb/>quod prius. </s> <s xml:id="echoid-s1804" xml:space="preserve">Quotieſcumque enim inflaverimus oleum in ellychnium in-<lb/>fundetur. </s> <s xml:id="echoid-s1805" xml:space="preserve">Sed oportebit auris extremitatem inflecti ad rectos angulos <lb/>cum ellychni foramine, ut ne oleum extra ejaculetur.</s> <s xml:id="echoid-s1806" xml:space="preserve"/> </p> <pb o="91" file="0097" n="97" rhead="Spirital. Liber."/> </div> <div xml:id="echoid-div129" type="section" level="1" n="81"> <head xml:id="echoid-head87" xml:space="preserve">LXXIII.</head> <p> <s xml:id="echoid-s1807" xml:space="preserve">Miliarii conſtructio, ut impoſito animali, efformatoque <lb/>in modum ſufflantis, & </s> <s xml:id="echoid-s1808" xml:space="preserve">ipſum animal ſufflet in carbones: </s> <s xml:id="echoid-s1809" xml:space="preserve">& </s> <s xml:id="echoid-s1810" xml:space="preserve"><lb/>ita miliarium ardeat. </s> <s xml:id="echoid-s1811" xml:space="preserve">Præterea ut canali juxta collum milia-<lb/>rii appoſito, & </s> <s xml:id="echoid-s1812" xml:space="preserve">aperto non fluat, niſi prius frigidam infun-<lb/>damus in aliquem craterem. </s> <s xml:id="echoid-s1813" xml:space="preserve">Frigida autem cum calida non <lb/>commiſceatur, niſi deſcendat ad fundum, & </s> <s xml:id="echoid-s1814" xml:space="preserve">ut ex canali <lb/>frigidiſſima effluat.</s> <s xml:id="echoid-s1815" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1816" xml:space="preserve">Sit miliarii figura quam quiſque elegerit. </s> <s xml:id="echoid-s1817" xml:space="preserve">Et in loco aquam excipiente <lb/>aliquis locus parvus ſegregetur duobus diaphragmatibus rectis, ita ut un-<lb/>dique præcluſus ſit. </s> <s xml:id="echoid-s1818" xml:space="preserve">Ex quo juxta fundum tubus ſimul perforetur, unus <lb/>exiſtens eorum, qui carbonibus ſubjiciuntur; </s> <s xml:id="echoid-s1819" xml:space="preserve">cujus altera pars obturetur, <lb/>ne aqua in ipſum ingrediatur ex miliario. </s> <s xml:id="echoid-s1820" xml:space="preserve">Reliqui tubi pertinent ad locum, <lb/>in quo eſt aqua, ut combuſti carbones per unum tubum, qui ad parvum <lb/>locum pertinet vaporem gignant. </s> <s xml:id="echoid-s1821" xml:space="preserve">Hic autem per quendam tubum ſimul <lb/>perforatum cum miliarii operculo fertur per os animalis in carbones: <lb/></s> <s xml:id="echoid-s1822" xml:space="preserve">etenim animal ita inclinatum eſt, ut deorſum ſufflet. </s> <s xml:id="echoid-s1823" xml:space="preserve">Cum igitur ſemper <lb/>gignatur vapor, & </s> <s xml:id="echoid-s1824" xml:space="preserve">animal ſemper ſufflat. </s> <s xml:id="echoid-s1825" xml:space="preserve">Vapor autem ex igne gignitur. </s> <s xml:id="echoid-s1826" xml:space="preserve"><lb/>Quod ſi paululum aquæ in parvum locum infundamus, plurimum gigne-<lb/>mus vaporem, ita ut animal præter modum ſufflans plus etiam calefaciat <lb/>miliarium; </s> <s xml:id="echoid-s1827" xml:space="preserve">quemadmodum videmus in lebetibus, qui fervent, vaporem <lb/>ex aqua ſurſumferri. </s> <s xml:id="echoid-s1828" xml:space="preserve">Erit autem animal exemptile per quoddam ſmeri-<lb/>ſmatium ad infundendum puſillam aquam. </s> <s xml:id="echoid-s1829" xml:space="preserve">Simùl vero & </s> <s xml:id="echoid-s1830" xml:space="preserve">ſi animal non <lb/>amplius ſufflare volumus in carbones, ipſum per ſmeriſma avertemus in <lb/>exteriorem partem. </s> <s xml:id="echoid-s1831" xml:space="preserve">Sit etiam parvus crater operculo impoſitus, ex quo <lb/>tubus feratur juxta fundum miliarii, ita ut aqua frigida per ipſum iufuſa <lb/>ad fundum permeet. </s> <s xml:id="echoid-s1832" xml:space="preserve">Sed ut miliarium aqua infuſa impleri poſſit, & </s> <s xml:id="echoid-s1833" xml:space="preserve">ſimul <lb/>ne ſuperebulliens aqua extra effundatur, alius tubus perforetur cum mi-<lb/>liarii operculo, & </s> <s xml:id="echoid-s1834" xml:space="preserve">in craterem reflectatur per interiorem ejus ſuperficiem <lb/>ne aſperitatem tactui præbeat. </s> <s xml:id="echoid-s1835" xml:space="preserve">Miliarii autem conſtructionem ſub a-<lb/>ſpectum ponemus.</s> <s xml:id="echoid-s1836" xml:space="preserve"/> </p> <pb o="92" file="0098" n="98" rhead="Heronis"/> <figure> <image file="0098-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0098-01"/> </figure> <p> <s xml:id="echoid-s1837" xml:space="preserve">Exponatur cylindrus concavus, cujus ſedes quidem inferior ſit AB, <lb/>ſuperior vero C D: </s> <s xml:id="echoid-s1838" xml:space="preserve">& </s> <s xml:id="echoid-s1839" xml:space="preserve">alius cylin drus concavus circa eundem axem con-<lb/>ſtruatur, cujus ſedes inferior E F, ſuperior G H. </s> <s xml:id="echoid-s1840" xml:space="preserve">Ori autem cylindro-<lb/>rum exteriori impoſita ſint diaphragmata quæ poſſint cylindrorum con-<lb/>cavitatem claudere & </s> <s xml:id="echoid-s1841" xml:space="preserve">illorum ora obſtruere. </s> <s xml:id="echoid-s1842" xml:space="preserve">Habeat autem E F G H cy-<lb/>lindrus tubos O K, L X, M N, quorum L X quidem ſimul perforetur ex <lb/>una parte, videlicet ad X: </s> <s xml:id="echoid-s1843" xml:space="preserve">reliqui vero ex utraque parte, ſintque hæc prin- <pb o="93" file="0099" n="99" rhead="Spirital. Liber."/> cipia ex utraque parte in locum inter duos cylindros interjectum: </s> <s xml:id="echoid-s1844" xml:space="preserve">& </s> <s xml:id="echoid-s1845" xml:space="preserve">in <lb/>co conſtituantur duo diaphragmata E G F H, locum G E F H inter-<lb/>cipientia, in quem penetret dictus tubus ex una parte perforatus. </s> <s xml:id="echoid-s1846" xml:space="preserve">Impo-<lb/>natur autem operculo, hoc eſt ipſi G H tubulus habens parvum animal <lb/>ſimul perforatum. </s> <s xml:id="echoid-s1847" xml:space="preserve">Perforeturque per totum animal, & </s> <s xml:id="echoid-s1848" xml:space="preserve">inflectatur ut ver-<lb/>gat in carbonum locum. </s> <s xml:id="echoid-s1849" xml:space="preserve">Quod ſi aliquando velimus non ſufflare animal, <lb/>ſit tubus in quo inſidet, alteri coaptatus, ut cum ipſum converterimus in <lb/>exteriorem partem non amplius ſufflet in locum carbonum, ſed extra. </s> <s xml:id="echoid-s1850" xml:space="preserve">Ad <lb/>injiciendum vero aquam in locum G E F H utilis erit nobis tubulus ipſe <lb/>coaptatus. </s> <s xml:id="echoid-s1851" xml:space="preserve">Nam ſublato animali à tubo, in quo inſidet, per ipſum a-<lb/>quam infundemus. </s> <s xml:id="echoid-s1852" xml:space="preserve">Plurimus enim vapor in animal irrumpet. </s> <s xml:id="echoid-s1853" xml:space="preserve">Operculo <lb/>autem imponitur crater R S ſimul cum ipſo perforatus, habensque ad ex-<lb/>tremitatem tubum uſque adfundum miliarii pertinentem, à quo tantum <lb/>diſtet, quantum ad aquæ fluxum ſatis ſit. </s> <s xml:id="echoid-s1854" xml:space="preserve">Quantum igitur volumus cali-<lb/>dam emitti, injiciemus per R S frigidam, quæ procedet per tubum per-<lb/>meantem in locum calidæ: </s> <s xml:id="echoid-s1855" xml:space="preserve">& </s> <s xml:id="echoid-s1856" xml:space="preserve">ſuperaſcendens calida, p<unsure/>er canalem, qui <lb/>eſt circa collum effluet. </s> <s xml:id="echoid-s1857" xml:space="preserve">Ingreſſa enim per tubum aqua nondum commix-<lb/>ta eſt cum ſubjecta calida. </s> <s xml:id="echoid-s1858" xml:space="preserve">Atquehoc ſemper ſacientes calidam pro frigida <lb/>injecta habebimus. </s> <s xml:id="echoid-s1859" xml:space="preserve">Sed ut cognoſcamus quando miliarium aſcendit, con-<lb/>ſtruitur hiatulus foratus per totum, & </s> <s xml:id="echoid-s1860" xml:space="preserve">forato operculo inſideat collo ha-<lb/>bens parvum tubum, hic autem aſpiciet in R S craterem, ut aſcendente <lb/>calida, delatio in craterem fiat. </s> <s xml:id="echoid-s1861" xml:space="preserve">Conſtructio igitur hujuſmodi eſt. </s> <s xml:id="echoid-s1862" xml:space="preserve">Quod <lb/>ſi velimus locum F E G H non occupare totum, ſed partem aliquam, <lb/>conſtruentur diaphragmata uſque ad dimidium. </s> <s xml:id="echoid-s1863" xml:space="preserve">Et ipſis imponitur aliud <lb/>diaphragma, & </s> <s xml:id="echoid-s1864" xml:space="preserve">accipit tubum pertinentem uſque ad animal. </s> <s xml:id="echoid-s1865" xml:space="preserve">Et carboni-<lb/>bus ardentibus erit delatio vaporis ex parvo loco. </s> <s xml:id="echoid-s1866" xml:space="preserve">Similiter & </s> <s xml:id="echoid-s1867" xml:space="preserve">in ipſum <lb/>aqua injicietur.</s> <s xml:id="echoid-s1868" xml:space="preserve"/> </p> <figure> <image file="0099-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0099-01"/> </figure> <pb o="94" file="0100" n="100" rhead="Heronis"/> </div> <div xml:id="echoid-div130" type="section" level="1" n="82"> <head xml:id="echoid-head88" xml:space="preserve">LXXIV.</head> <p> <s xml:id="echoid-s1869" xml:space="preserve">Utuntur etiam alia conſtructione hujuſmodi ad bucci-<lb/>nandum, & </s> <s xml:id="echoid-s1870" xml:space="preserve">merulæ vocem reddendam.</s> <s xml:id="echoid-s1871" xml:space="preserve"/> </p> <figure> <image file="0100-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0100-01"/> </figure> <pb o="95" file="0101" n="101" rhead="SPIRITAL. LIBER."/> <p> <s xml:id="echoid-s1872" xml:space="preserve">Rurſus enim idem miliarium conſtruitur habens omnes tubos, qui in <lb/>ſede ſunt, perforatos ex utraque parte: </s> <s xml:id="echoid-s1873" xml:space="preserve">& </s> <s xml:id="echoid-s1874" xml:space="preserve">circa ſedem ſit tubus VT <lb/>fœmina, habens alium ſibi aptatum KL pertinentem ad locum calidæ, & </s> <s xml:id="echoid-s1875" xml:space="preserve"><lb/>motum circa clavum KL. </s> <s xml:id="echoid-s1876" xml:space="preserve">Hic autem perforetur tribus foraminibus <lb/>MNX. </s> <s xml:id="echoid-s1877" xml:space="preserve">Similiter & </s> <s xml:id="echoid-s1878" xml:space="preserve">tubus VT perforetur totidem ſoraminibus, ipſis <lb/>MNX reſpondentibus. </s> <s xml:id="echoid-s1879" xml:space="preserve">Ad X vero perforatur baſis quædam in ſeipſa <lb/>continens tubum coarctatum foramini X, in quo ponitur animal quem-<lb/>admodum & </s> <s xml:id="echoid-s1880" xml:space="preserve">ante dictum eſt: </s> <s xml:id="echoid-s1881" xml:space="preserve">& </s> <s xml:id="echoid-s1882" xml:space="preserve">ex MN tubi ſunt penetrantes MO, NP, <lb/>qui ſupra habent extremitates inflexas. </s> <s xml:id="echoid-s1883" xml:space="preserve">His autem ſimul perforetur & </s> <s xml:id="echoid-s1884" xml:space="preserve"><lb/>coarctetur iniliarii ſedes ſuperior, & </s> <s xml:id="echoid-s1885" xml:space="preserve">per foramina penetrent alii tubi ad <lb/>ipſos PO aptati, in quibus hæc inſideant. </s> <s xml:id="echoid-s1886" xml:space="preserve">In uno quidem paſſerculus <lb/>habens interiora vacua, ut aquam ſuſcipere poſſit. </s> <s xml:id="echoid-s1887" xml:space="preserve">Ipſe igitur tubus, in <lb/>quo inſidet, inflectitur habens phthongarium exiis, quæ fiunt ad tranſ-<lb/>mittendas voces. </s> <s xml:id="echoid-s1888" xml:space="preserve">Inflexio autem uſque ad aquam penetret in paſſerculo. <lb/></s> <s xml:id="echoid-s1889" xml:space="preserve">Quando igitur vox phthongarii procedit in aquam, vocem merulæ reddit. </s> <s xml:id="echoid-s1890" xml:space="preserve"><lb/>Rurſus alter tubus habet & </s> <s xml:id="echoid-s1891" xml:space="preserve">ipſe alium tubum ſibi coaptatum, in quo in-<lb/>ſidet animal in effigiem Tritonis efformatum, & </s> <s xml:id="echoid-s1892" xml:space="preserve">in ore buccinam tenens. </s> <s xml:id="echoid-s1893" xml:space="preserve"><lb/>Rurſus autem hic ipſe tubus, in quo inſidet, habet lingulam & </s> <s xml:id="echoid-s1894" xml:space="preserve">codona, <lb/>ut fieri conſuevit. </s> <s xml:id="echoid-s1895" xml:space="preserve">Procedens igitur vapor & </s> <s xml:id="echoid-s1896" xml:space="preserve">lingulæ & </s> <s xml:id="echoid-s1897" xml:space="preserve">codoni conjun-<lb/>ctus buccinæ ſonum perficit. </s> <s xml:id="echoid-s1898" xml:space="preserve">Itaque experientia conſiderabimus, quan-<lb/>do foramen reſpondeat M O tubo, & </s> <s xml:id="echoid-s1899" xml:space="preserve">quando tubo N P, & </s> <s xml:id="echoid-s1900" xml:space="preserve">quando ipſi <lb/>X impoſito animali. </s> <s xml:id="echoid-s1901" xml:space="preserve">Atque hæc cognoſcentes ſigna quædam in ipſis <lb/>notabimus ad clavum K L, ut quando velimus ipſum buccina canere. </s> <s xml:id="echoid-s1902" xml:space="preserve"><lb/>Quando rurſus velimus ipſum ſufflare, ſufflet. </s> <s xml:id="echoid-s1903" xml:space="preserve">Et quando velimus, me-<lb/>rulæ vocem reddat. </s> <s xml:id="echoid-s1904" xml:space="preserve">Quod autem attinet ad craterem, & </s> <s xml:id="echoid-s1905" xml:space="preserve">ad aquam calidæ <lb/>aſcenſum, quemadmodum & </s> <s xml:id="echoid-s1906" xml:space="preserve">ante dictum eſt, ita fiat.</s> <s xml:id="echoid-s1907" xml:space="preserve"/> </p> <pb o="96" file="0102" n="102" rhead="HERONIS"/> </div> <div xml:id="echoid-div131" type="section" level="1" n="83"> <head xml:id="echoid-head89" xml:space="preserve">LXXV.</head> <p> <s xml:id="echoid-s1908" xml:space="preserve">Hydraulici inſtrumenti conſtructio.</s> <s xml:id="echoid-s1909" xml:space="preserve"/> </p> <figure> <image file="0102-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0102-01"/> </figure> <p> <s xml:id="echoid-s1910" xml:space="preserve">Sit quædam arula ænea A B C D, in qua ſit aqua, & </s> <s xml:id="echoid-s1911" xml:space="preserve">in aqua conca-<lb/>vum hemiſphærium inverſum, quod furnus appellatur E F G H, ha-<lb/>bens in humido defluxum, ad partes, quæ in fundo ſunt. </s> <s xml:id="echoid-s1912" xml:space="preserve">A vertice autem <lb/>ipſius duo producantur tubi ſimul cum eo perforati, qui ſunt circa aru-<lb/>lam, quorum unus G K L M in exteriorem arulæ partem incurvetur, <lb/>ſimul perforatas cum modiolo N X O P habente os infra, & </s> <s xml:id="echoid-s1913" xml:space="preserve">interiorem <lb/>ſuperficiem rectam ad embolum. </s> <s xml:id="echoid-s1914" xml:space="preserve">Huic autem embolus R S apteturita, <lb/>ut aeringredi non poſſit. </s> <s xml:id="echoid-s1915" xml:space="preserve">Atque embolo jungatur regula TY valde fir-<lb/>ma, ad quam aptetur alia regula Y Φ, mota circa clavum in Y, & </s> <s xml:id="echoid-s1916" xml:space="preserve">cir-<lb/>cumacta ad rectam regulam ΨQ firmiter ſtabilitam. </s> <s xml:id="echoid-s1917" xml:space="preserve">At modiolo NXOP <lb/>imponatur ad fundum alter modiolus parvus Ω ſimul cum ipſo perforatus, <lb/>& </s> <s xml:id="echoid-s1918" xml:space="preserve">coopertus ex parte ſuperiori, habensque foramen, per quod aër in <lb/>modiolum ingrediatur. </s> <s xml:id="echoid-s1919" xml:space="preserve">Sub foramine autem ſit laminula ipſum obturans, <pb o="97" file="0103" n="103" rhead="SPIRITAL. LIBER."/> detentaque à quibuſdam clavis capita habentibus, ne excedat, quam <lb/>vocant platyſmation, præterea ab hemiſphærio E F G H alter produ-<lb/>catur tubus F V ſimul perforatus cum alio tubo tranſverſo V Z, in quod <lb/>imponantur tibiæ cum ipſo perforatæ α, habentesque ex partibus in-<lb/>ferio ribus tamquam gloſſocoma ſimul perſorata cum ipſis, quorum ora <lb/>β apertæ ſint. </s> <s xml:id="echoid-s1920" xml:space="preserve">Et per ora impellantur opercula, quæ foramina habeant, <lb/>ita ut operculis inductis eorum foramina reſpondeant foraminibus tibia-<lb/>rum; </s> <s xml:id="echoid-s1921" xml:space="preserve">eductis autem iiſdem foramina permutentur, & </s> <s xml:id="echoid-s1922" xml:space="preserve">tibias obturent. <lb/></s> <s xml:id="echoid-s1923" xml:space="preserve">Siigitur regula tranſverſa ex parte Φ impellatur in partem inferiorem, em-<lb/>bolus RS aſcendens expellet aërem in modiolo NXOP contentum, qui <lb/>quidem aër claudet foramen, quod eſt in parvo modiolo per jam dictum <lb/>platyſmation. </s> <s xml:id="echoid-s1924" xml:space="preserve">Procedet autem per tubum MLKG in furnum, & </s> <s xml:id="echoid-s1925" xml:space="preserve">ex furno <lb/>in tranſverſum tubum V Z per tubum FV, deinde ex tranſverſo tubo in ti-<lb/>bias, quando earum ſoramina ſoraminibus operculorum reſpondeant: </s> <s xml:id="echoid-s1926" xml:space="preserve"><lb/>hoc eſt quando opercula inducta ſint, vel omnia, vel aliqua eorum. </s> <s xml:id="echoid-s1927" xml:space="preserve">Ut <lb/>igitur quando volumus tibias aliquas ſonare, earum foramina aperiantur, <lb/>& </s> <s xml:id="echoid-s1928" xml:space="preserve">quando volumus ceſſare, claudantur, ita faciemus. </s> <s xml:id="echoid-s1929" xml:space="preserve">Intelligatur unum <lb/>aliquod ex gloſſocomis ſeorſum poſitum γ {δι}<unsure/>, cujus os ſit {δι}<unsure/>, tibia vero ſi-<lb/>mul cum eo perſorata ε, & </s> <s xml:id="echoid-s1930" xml:space="preserve">operculumipſi congruens ζ ς, quod foramen <lb/>habet η, à tibia ε permutatum. </s> <s xml:id="echoid-s1931" xml:space="preserve">Sit præterea cubitulus trimembris ς θ χ λ, <lb/>cujus membrum σ τ θ conjunctum ſit operculo ζ σ τ, & </s> <s xml:id="echoid-s1932" xml:space="preserve">ad θ χ circa cla-<lb/>vum moveatur. </s> <s xml:id="echoid-s1933" xml:space="preserve">Si igitur manu deducemus extremum cubituli λ, ad <lb/>{δι}<unsure/> oſculum gloſſocomi transferemus operculum in partem interiorem, <lb/>& </s> <s xml:id="echoid-s1934" xml:space="preserve">cum in partem interiorem inciderit, tunc foramen, quod eſt in ipſo <lb/>tibiis reſpondens efficitur. </s> <s xml:id="echoid-s1935" xml:space="preserve">Ut autem quando manum auferamus opercu-<lb/>lum ſua ſponte extrahatur, & </s> <s xml:id="echoid-s1936" xml:space="preserve">tibiam permutet, hæc ſient. </s> <s xml:id="echoid-s1937" xml:space="preserve">Subjiciatur ſub <lb/>gloſſocomis regula æqualis tubo V Z & </s> <s xml:id="echoid-s1938" xml:space="preserve">ipſi parallela μ ν, in qua infigan-<lb/>tur ſpatulæ corneæ robuſtæ, & </s> <s xml:id="echoid-s1939" xml:space="preserve">inflexæ, quarum una eſt O, poſita ad <lb/>gloſſocomum γ {δι}<unsure/>: </s> <s xml:id="echoid-s1940" xml:space="preserve">ab extremo autem ipſius nervus alligatus referatur cir-<lb/>ca extremum θ, ita ut operculo intus impulſo nervus extendatur. </s> <s xml:id="echoid-s1941" xml:space="preserve">Ita-<lb/>que ſi deducentes extremum cubituli λ operculum in partem interiorem <lb/>impellamus, nervus attrahet ſpatulam, ut inflexionem ipſius vi erigat. </s> <s xml:id="echoid-s1942" xml:space="preserve"><lb/>Quando autem dimittamus, rurſus ſpatula in priſtinum locum reſtituta, <lb/>inflexaque oris operculum extrahet, adeo ut foramen permutetur. </s> <s xml:id="echoid-s1943" xml:space="preserve">His <lb/>igitur in unoquoque gloſſocomo conſtitutis, quando volumus aliquas <lb/>tibiarum ſonare, digitis deducemus cubitulos, qui ſunt circa ipſas: </s> <s xml:id="echoid-s1944" xml:space="preserve">& </s> <s xml:id="echoid-s1945" xml:space="preserve"><lb/>quando volumus non amplius ſonare digitos elevabimus, & </s> <s xml:id="echoid-s1946" xml:space="preserve">tunc ceſſa-<lb/>bunt attractis operculis. </s> <s xml:id="echoid-s1947" xml:space="preserve">Aqua vero quæ eſt in arula ideo injicitur, ut <lb/>aër ſuperabundans in furno, qui ſcilicet ex modiolo impulſus aquam ele- <pb o="98" file="0104" n="104" rhead="HERONIS"/> vat, contineatur, tibiiſque ſonantibus ſuppeditetur. </s> <s xml:id="echoid-s1948" xml:space="preserve">At embolus RS <lb/>ſurſum impulſus, ut dictum eſt, aërem, qui in modiolo continetur in <lb/>furnum exprimit; </s> <s xml:id="echoid-s1949" xml:space="preserve">deductus vero aperit platyſmation exiſtens in parvo <lb/> <anchor type="figure" xlink:label="fig-0104-01a" xlink:href="fig-0104-01"/> modiolo, per quod modiolus aëre extrinſecus impletur, ut rurſum em-<lb/>bolus in partem ſuperiorem impulſus ipſum in furnum exprimat. </s> <s xml:id="echoid-s1950" xml:space="preserve">Melius <lb/>autem eſt & </s> <s xml:id="echoid-s1951" xml:space="preserve">regulam TY circa clavum moveri ad Y circa fibulam unam <lb/>exiſtentem in fundo emboli, per quam oportebit clavum impelli, ut <lb/>embolusnon convertatur, ſed rectus impellatur ſurſum, & </s> <s xml:id="echoid-s1952" xml:space="preserve">deducatur.</s> <s xml:id="echoid-s1953" xml:space="preserve"/> </p> <div xml:id="echoid-div131" type="float" level="2" n="1"> <figure xlink:label="fig-0104-01" xlink:href="fig-0104-01a"> <image file="0104-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0104-01"/> </figure> </div> </div> <div xml:id="echoid-div133" type="section" level="1" n="84"> <head xml:id="echoid-head90" xml:space="preserve">LXXVI.</head> <p> <s xml:id="echoid-s1954" xml:space="preserve">Organi conſtructio ut vento perflante ſonus tibiæ red-<lb/>datur.</s> <s xml:id="echoid-s1955" xml:space="preserve"/> </p> <p> <s xml:id="echoid-s1956" xml:space="preserve">Sint tibiæ A, tubus autem tranſverſus cum ipſis perforatus B C, & </s> <s xml:id="echoid-s1957" xml:space="preserve"><lb/>rectus D E, ex quo alius tranſverſus EF pertinens in modiolum GH, <lb/>habentem ſuperficiem interiorem ad embolum rectam, huic autem a-<lb/>ptetur embolus KL, qui ſacile in ipſum ingredi poſſit, & </s> <s xml:id="echoid-s1958" xml:space="preserve">ipſi conjuncta <lb/>ſit regula MN appoſita alteri regulæ NX, quæ circa axem PR circum- <pb o="99" file="0105" n="105" rhead="SPIRITAL. LIBER."/> <anchor type="figure" xlink:label="fig-0105-01a" xlink:href="fig-0105-01"/> agatur. </s> <s xml:id="echoid-s1959" xml:space="preserve">Et ad N quidem ſit parvus clavus facile ſolubilis; </s> <s xml:id="echoid-s1960" xml:space="preserve">ad X vero <lb/>platyſmation apponatur conjunctum cum X O, & </s> <s xml:id="echoid-s1961" xml:space="preserve">ipſi X O adhæreat <lb/>axis S circa cnodaces ferreos mobilis in pegmate, quod deduci poſſit: <lb/></s> <s xml:id="echoid-s1962" xml:space="preserve">axi vero S conjuncta ſint duo tympanula Y V, quorum Y quidem par-<lb/>vas ſcytalas habeat, platyſmation X O adjacentes, V vero platas habeat, <lb/>quemadmodum ea, quæ anemaria vocantur. </s> <s xml:id="echoid-s1963" xml:space="preserve">Quando igitur à vento per-<lb/>cuſſæ feſtinant omnes, & </s> <s xml:id="echoid-s1964" xml:space="preserve">tympanulum V convertunt, convertitur <lb/>etiam axis, quare & </s> <s xml:id="echoid-s1965" xml:space="preserve">V tympanulum, & </s> <s xml:id="echoid-s1966" xml:space="preserve">quæ in ipſo ſunt ſcytalæ ex in-<lb/>tervallo percutientes X O platy ſmation, attollunt K L, & </s> <s xml:id="echoid-s1967" xml:space="preserve">abſcedente <lb/>ſcytala, embolus deorſum ſeretur, exprimetque aërem in modiolo con-<lb/>tentum in fiſtulas, & </s> <s xml:id="echoid-s1968" xml:space="preserve">tibias, & </s> <s xml:id="echoid-s1969" xml:space="preserve">ſonum edet. </s> <s xml:id="echoid-s1970" xml:space="preserve">Licebit autem pegma <lb/>axem habens ſemper ad ſpirantem ventum convertere, ut violentior, & </s> <s xml:id="echoid-s1971" xml:space="preserve"><lb/>magis continuata converſio fiat.</s> <s xml:id="echoid-s1972" xml:space="preserve"/> </p> <div xml:id="echoid-div133" type="float" level="2" n="1"> <figure xlink:label="fig-0105-01" xlink:href="fig-0105-01a"> <image file="0105-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0105-01"/> </figure> </div> </div> <div xml:id="echoid-div135" type="section" level="1" n="85"> <head xml:id="echoid-head91" xml:space="preserve">FINIS.</head> <pb file="0106" n="106"/> <pb file="0107" n="107"/> </div> <div xml:id="echoid-div136" type="section" level="1" n="86"> <head xml:id="echoid-head92" xml:space="preserve">QUATUOR</head> <head xml:id="echoid-head93" xml:space="preserve">THEOREMATA</head> <head xml:id="echoid-head94" xml:space="preserve">Adjuncta</head> <head xml:id="echoid-head95" xml:space="preserve">SPIRITALIBUS <lb/>HERONIS,</head> <head xml:id="echoid-head96" xml:space="preserve">Per</head> <head xml:id="echoid-head97" xml:space="preserve">M. <emph style="sc">Joannem</emph> <emph style="sc">Baptistam</emph> <emph style="sc">Aleottum.</emph></head> <head xml:id="echoid-head98" xml:space="preserve">Et</head> <head xml:id="echoid-head99" xml:space="preserve">Conſtructio modi, quo artificialiter repræſentatur ca-<lb/>nalis aquæ vivæ aquam ejaculans uſque in verticem <lb/>cujuscunque altæ turris, ſumma facilitate.</head> <head xml:id="echoid-head100" xml:space="preserve">Ex Italice in Latinum conutrſa.</head> <pb o="102" file="0108" n="108" rhead="JO. BAPT. ALEOTTI"/> <p> <s xml:id="echoid-s1973" xml:space="preserve">Repræſentare Herculem clava aggredientem Draconem <lb/>poma aurea cuſtodientem, ita ut Hercule clavam elevante <lb/>Draco ſibilet, dumque eam in ejus caput impingit, aquam <lb/>in faciem ejus ejaculetur.</s> <s xml:id="echoid-s1974" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div137" type="section" level="1" n="87"> <head xml:id="echoid-head101" xml:space="preserve"><emph style="sc">Theorema</emph> I.</head> <p> <s xml:id="echoid-s1975" xml:space="preserve">S It baſis A B C D, cujus una pars C D E F G H K ſit arctiffi-<lb/>me clauſa: </s> <s xml:id="echoid-s1976" xml:space="preserve">ita ut aër inde exire nequeat. </s> <s xml:id="echoid-s1977" xml:space="preserve">Supra hanc & </s> <s xml:id="echoid-s1978" xml:space="preserve">ſubter <lb/>canalem S ponatur infundibulum T, cujus cauda ſub finem <lb/>coarctata, ut demonſtrat pars ejus notata V, in tantum diſtet <lb/>ſupra fundum baſis G H K, quantum ad fluxum aquæ videbitur ſufficere: <lb/></s> <s xml:id="echoid-s1979" xml:space="preserve">cujus fundo ſint applumbati duo inflexi ſiphones X & </s> <s xml:id="echoid-s1980" xml:space="preserve">Y; </s> <s xml:id="echoid-s1981" xml:space="preserve">ſed Y fit multo <lb/>ſubtilior ſiphone X, hinc in P ſtatuatur Hercules, in N poma aurea & </s> <s xml:id="echoid-s1982" xml:space="preserve"><lb/>ſub eis in L Draco. </s> <s xml:id="echoid-s1983" xml:space="preserve">Hoc facto in latere baſis E F G H adaptetur tubus <lb/>M, qui in O flectatur & </s> <s xml:id="echoid-s1984" xml:space="preserve">pertingat in os Draconis ita comparatum, ut edat <lb/>ſibilum, dum aër (ab aqua canalis S, quæ per infundibulum in baſin intrat) <lb/>pulſus conabitur (cum alium exitum non inveniat) exire periſtum tubum: </s> <s xml:id="echoid-s1985" xml:space="preserve"><lb/>& </s> <s xml:id="echoid-s1986" xml:space="preserve">ſit quoque ita adaptatum, ut dum per ſiphonem Y evacuatur baſis, <lb/>neque poteſt aliunde, quam per oſculum dicti tubi admittere aërem, <lb/>etiam ex eo majorem ſibilum edat; </s> <s xml:id="echoid-s1987" xml:space="preserve">quod nemini puto conſtructu difficile <lb/>eſſe. </s> <s xml:id="echoid-s1988" xml:space="preserve">Poſtea à clavo O O ſuſtentetur regula D D C C ſub cujus una <lb/>extremitate C C adaptetur conus cavus R R qui interius contineat cir-<lb/>culos perfectos, lineasque rectiſſimas, accuratiſſimè torno elaboratus. </s> <s xml:id="echoid-s1989" xml:space="preserve"><lb/>Intraque illum adaptetur conus ſolidus B B, qui illi exactè ab omni parte <lb/>inſiſtat: </s> <s xml:id="echoid-s1990" xml:space="preserve">hic in parte ſuperiore habeat annulum, cui alligatus funis ſuſpen-<lb/>datur in C C, regula D D C C ſtante in perfecto diano. </s> <s xml:id="echoid-s1991" xml:space="preserve">Et ſub D D <lb/>appendatur vas Z, quod cavum multo levius ſit cono B B: </s> <s xml:id="echoid-s1992" xml:space="preserve">hic vero & </s> <s xml:id="echoid-s1993" xml:space="preserve"><lb/>regula & </s> <s xml:id="echoid-s1994" xml:space="preserve">conus ita ſint diſpoſiti, ut vas Z ſit ſub crure exteriore inflexi ſi-<lb/>phonis X, & </s> <s xml:id="echoid-s1995" xml:space="preserve">ad anſam ejus alligetur funis, qui tranſeat per crus Hercu-<lb/>lis dextrum, perque corpus ejus attingat brachia, quæ clave quadam <lb/>figura literæ T in æquilibrio ſuſtententur: </s> <s xml:id="echoid-s1996" xml:space="preserve">exemplar eſt T<unsure/>. </s> <s xml:id="echoid-s1997" xml:space="preserve">3. </s> <s xml:id="echoid-s1998" xml:space="preserve">eſt humerus <lb/>dexter, 2. </s> <s xml:id="echoid-s1999" xml:space="preserve">eſt humerus ſiniſter, & </s> <s xml:id="echoid-s2000" xml:space="preserve">4. </s> <s xml:id="echoid-s2001" xml:space="preserve">eſt ſcytala, dum itaque 2. </s> <s xml:id="echoid-s2002" xml:space="preserve">3. </s> <s xml:id="echoid-s2003" xml:space="preserve">ſtant <lb/>in æquilibrio, alligetur funis in 4 extremitate ſcytalæ. </s> <s xml:id="echoid-s2004" xml:space="preserve">Poſtea manibus <lb/>Herculis inſeratur clava Q. </s> <s xml:id="echoid-s2005" xml:space="preserve">Deinde ſupponatur cruri inflexi ſiphonis Y <lb/>vas A A, & </s> <s xml:id="echoid-s2006" xml:space="preserve">hic tubus ſit operculo dicti vaſis optime applumbatus, & </s> <s xml:id="echoid-s2007" xml:space="preserve"><lb/>operculum ipſum vaſi: </s> <s xml:id="echoid-s2008" xml:space="preserve">ex quo egrediatur tubulus T T R qui caput ſuum <lb/>inſeratin cavum conum R R, iſque cum iſto ſit perforatus, & </s> <s xml:id="echoid-s2009" xml:space="preserve">habeat in <pb o="103" file="0109" n="109" rhead="THEOREMATA SPIRITALIA."/> iſto foramine aſſarium, quod in ejus parte interiore aperiatur. </s> <s xml:id="echoid-s2010" xml:space="preserve">E <lb/>regione hujus foraminis fiat aliud foramen, & </s> <s xml:id="echoid-s2011" xml:space="preserve">illi applumbetur tubus <lb/>cavus Q Q; </s> <s xml:id="echoid-s2012" xml:space="preserve">qui etiam pertingat uſque in os Draconis. </s> <s xml:id="echoid-s2013" xml:space="preserve">Hoc pera-<lb/>cto fluat aqua per canalem S in infundibulum T, ut deſcendatin baſim, <lb/>cui conſequens eſt ut aër inde expellatur per tubum M O, qui præſtabit <lb/>ut Draco ſibilet: </s> <s xml:id="echoid-s2014" xml:space="preserve">& </s> <s xml:id="echoid-s2015" xml:space="preserve">cum baſis plena eſt aqua, ſe exonerabit, & </s> <s xml:id="echoid-s2016" xml:space="preserve">ſic aër <lb/> <anchor type="figure" xlink:label="fig-0109-01a" xlink:href="fig-0109-01"/> retrogrediens in baſim per tubum M O cauſabit majorem ſibilum & </s> <s xml:id="echoid-s2017" xml:space="preserve">ſtri-<lb/>dorem. </s> <s xml:id="echoid-s2018" xml:space="preserve">Exonerabit vero ſe per inflexum ſiphonem X, & </s> <s xml:id="echoid-s2019" xml:space="preserve">aquaincidet <lb/>in vas Z, quod per gravitatem ſuam deſcendens elevabit clavam Herculis, <lb/>elevabitur quoque conus B B, & </s> <s xml:id="echoid-s2020" xml:space="preserve">ſic aqua perinflexum ſiphonem Y de-<lb/>fluens in vas A A, inde influet in conum vacuum R R: </s> <s xml:id="echoid-s2021" xml:space="preserve">& </s> <s xml:id="echoid-s2022" xml:space="preserve">fiet, ut eva-<lb/>cuata baſi A B E F G H I K, etiam evacuetur vas Z, quia angulus <lb/>fundi ejus eſt acutus, qui illud non ſinit directum conſiſtere: </s> <s xml:id="echoid-s2023" xml:space="preserve">unde le-<lb/>vior factus elevabitur à cono ſolido B B, eoque ſubito aſcendente clava <pb o="104" file="0110" n="110" rhead="JO. BAPT. ALEOTTI"/> Q feriet caput Draconis, qui ipſo momento hujus ictus in faciem Her-<lb/>culis ejaculabitur aquam: </s> <s xml:id="echoid-s2024" xml:space="preserve">quia infundibulo T ſtante ferme ad eandem al-<lb/>titudinem cum ore Draconis; </s> <s xml:id="echoid-s2025" xml:space="preserve">& </s> <s xml:id="echoid-s2026" xml:space="preserve">ſiphone Y præbente aquam vaſi A A, <lb/>eaque per tubum T T R profluente in conum R R, fiet ut hic impleatur, <lb/>poſtquam ei locum conceſſit conus ſolidus B, deſcendente vaſe Z: </s> <s xml:id="echoid-s2027" xml:space="preserve">& </s> <s xml:id="echoid-s2028" xml:space="preserve"><lb/>ſic implebitur quoque tubus Q Q uſque ad osfere Draconis: </s> <s xml:id="echoid-s2029" xml:space="preserve">& </s> <s xml:id="echoid-s2030" xml:space="preserve">poſtea <lb/> <anchor type="figure" xlink:label="fig-0110-01a" xlink:href="fig-0110-01"/> cono B B cum impetu delabente, aqua quæ eſt in cavo cono R R, dum <lb/>non poteſt in eo ſurſum impelli, propter viam obturatam per aſſarium <lb/>dictum, compelletur elevari per tubum Q Q in os Draconis, qui eam <lb/>(eodem momento, quo clava percutietur) ejaculabiturin faciem Herculis <lb/>per vim ponderis B B. </s> <s xml:id="echoid-s2031" xml:space="preserve">Verum ut aqua non effluat per oſculum coni cavi <lb/>R R, ſed compellatur intrare in tubum Q Q: </s> <s xml:id="echoid-s2032" xml:space="preserve">fiat conus coriaceus intra <lb/>ſuperficiem cavi coni R R, ad oſculum ejus impactus, cujus vertex ſit <pb o="105" file="0111" n="111" rhead="THEOREMATA SPIRITALIA."/> etiam impactus in verticem ſõlidi coni BB, quia hoc ſe elevante elevabi-<lb/>tur quoque conus coriaceus, dabitque locum memoratum aquæ influxu-<lb/>ræ: </s> <s xml:id="echoid-s2033" xml:space="preserve">& </s> <s xml:id="echoid-s2034" xml:space="preserve">hoc eſt, quod in Theoremate hoc propoſuimus.</s> <s xml:id="echoid-s2035" xml:space="preserve"/> </p> <div xml:id="echoid-div137" type="float" level="2" n="1"> <figure xlink:label="fig-0109-01" xlink:href="fig-0109-01a"> <image file="0109-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0109-01"/> </figure> <figure xlink:label="fig-0110-01" xlink:href="fig-0110-01a"> <image file="0110-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0110-01"/> </figure> </div> <p> <s xml:id="echoid-s2036" xml:space="preserve">Facere ut ſex circiter fluvii ex urnis ſuis effundant aquam in <lb/>magnum vas, inque dicta aqua abſconſus lateat Triton, <lb/>qui velociter ex undisemergat, & </s> <s xml:id="echoid-s2037" xml:space="preserve">buccina vel cornu con-<lb/>chæ canat, & </s> <s xml:id="echoid-s2038" xml:space="preserve">ut ipſo canente fluvii deſinant effundere <lb/>aquam, ſimul ac verò ſe converterit ad petendum fun-<lb/>dum, denuo effundant aquam ex urnis in vas, quaſi ipſe <lb/>eos jubeat ut ceſſent aquam effundere, & </s> <s xml:id="echoid-s2039" xml:space="preserve">ipſi dicto au-<lb/>dientes urnas ſuas claudant, donec ipſe caput effert undis: <lb/></s> <s xml:id="echoid-s2040" xml:space="preserve">ipſo verò regreſſo ejus mandatum nihil amplius morentur.</s> <s xml:id="echoid-s2041" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div139" type="section" level="1" n="88"> <head xml:id="echoid-head102" xml:space="preserve"><emph style="sc">Theorema</emph> II.</head> <p> <s xml:id="echoid-s2042" xml:space="preserve">Sit baſis undique arctiſſime clauſa ABCDE, ſupra quam ſit vas am-<lb/>plum multæque aquæ capax FG, quod poteſt eſſe majus & </s> <s xml:id="echoid-s2043" xml:space="preserve">multo minus <lb/>baſi, ſecundum commoditatem, & </s> <s xml:id="echoid-s2044" xml:space="preserve">circumcirca vas illud collocentur <lb/>ſtatuæ fluviorum IKLM ex ære, vel cupro; </s> <s xml:id="echoid-s2045" xml:space="preserve">hi ſtent ad oram vaſis, in quo <lb/>ſit canalis QQ, ſupra quem pedibus ſuis inſiſtant arctiſſime applumbatis <lb/>dicto canali, in quo per unumquemque pedem fluviorum ad minimum <lb/>unum ſit foramen, per quod aqua poſſit in ſtatuas intrare, ita adapta-<lb/>tas, ut ex urnis (quas humeris ſuſtinebunt, velſub pedibus habebunt, <lb/>prout libitum fuerit) effundant aquam in vas FG, poſtquam ea ex <lb/>canali O defluens in vas P ulterius delapſa fuerit per canalem R in <lb/>QQ, in quo fiat ſolidum S, per quod tranſeat canalis, & </s> <s xml:id="echoid-s2046" xml:space="preserve">dictum ſc-<lb/>lidum S perforatum ſit per latera appoſita, ita ut per foramen illud exi-<lb/>ſtensin medio canali tranſeat baculus TV: </s> <s xml:id="echoid-s2047" xml:space="preserve">ſed hic ſit multo craſſior am-<lb/>plitudine cavitatis canalis ad æquilibrium fixus in truncum 16 in terra: <lb/></s> <s xml:id="echoid-s2048" xml:space="preserve">& </s> <s xml:id="echoid-s2049" xml:space="preserve">in iſto ſolido è regionis canalis fiat, ut baculus TV habeat grande <lb/>foramen exactè æquale amplitudini vacui canalis RQ, ita.</s> <s xml:id="echoid-s2050" xml:space="preserve">ut per circum-<lb/>volutionem baculi canalis modo aperiatur, modo obſtruatur. </s> <s xml:id="echoid-s2051" xml:space="preserve">Poſtea fiat <lb/>inciſura in ora vaſis FG, intra quam adaptetur tubus ca<unsure/>vus, quiverti-<lb/>cem immittat intra fiſtulam X; </s> <s xml:id="echoid-s2052" xml:space="preserve">& </s> <s xml:id="echoid-s2053" xml:space="preserve">hæc deſcendat in baſin, ut notatum <lb/>eſt, optime illi applumbata: </s> <s xml:id="echoid-s2054" xml:space="preserve">& </s> <s xml:id="echoid-s2055" xml:space="preserve">iſta habeat ſuum foramen ſequens. </s> <s xml:id="echoid-s2056" xml:space="preserve">quem-<lb/>admodum illud tubi qui ex latere vergente ad vas habeat foramen: </s> <s xml:id="echoid-s2057" xml:space="preserve">poſt-<lb/>ea ſumma diligentia, antequam intra rimam vaſis applumbetur, in il- <pb o="106" file="0112" n="112" rhead="JO. BAPT. ALEOTTI"/> lud inſeratur regula Y, quæ quantum per artem fieri licet, ita accuratiſ-<lb/>ſimè ſit torno tornata, ut non poſſit alia melius adaptari, ne flatus poſſit <lb/>exire, uti Theoremate IX Heronis dictum, ubi tractatur de ſphæra <lb/>concava, & </s> <s xml:id="echoid-s2058" xml:space="preserve">in XXVII ubi agitur de tubis quorum uſus eſt incendiis, & </s> <s xml:id="echoid-s2059" xml:space="preserve"><lb/>ſit regula de tubo uſque Y per medium perforata, & </s> <s xml:id="echoid-s2060" xml:space="preserve">infixus Y ſit, Tri-<lb/> <anchor type="figure" xlink:label="fig-0112-01a" xlink:href="fig-0112-01"/> ton, per cujus corpus tranſeat tubus vacuus foramini regulæ applumba-<lb/>tus, & </s> <s xml:id="echoid-s2061" xml:space="preserve">ille pertingat uſque ad os iſtius Tritonis, & </s> <s xml:id="echoid-s2062" xml:space="preserve">intret in cochleam, <lb/>in qua adaptata ſit lingula, qualem tibiæ utriculari adaptare ſolent ruſtici, <lb/>poſtea in Y mediante fune appendatur vas 7 intra quod ſit tubus ſpiritalis, <lb/>poſtea imponatur funis duabus trochleis 2. </s> <s xml:id="echoid-s2063" xml:space="preserve">4. </s> <s xml:id="echoid-s2064" xml:space="preserve">ita ut circumvolvatur cir-<lb/>cum baculum VT. </s> <s xml:id="echoid-s2065" xml:space="preserve">ſtantem in æquilibrio in 16. </s> <s xml:id="echoid-s2066" xml:space="preserve">& </s> <s xml:id="echoid-s2067" xml:space="preserve">ad extremitatem fu-<lb/>nis trochleæ 2. </s> <s xml:id="echoid-s2068" xml:space="preserve">appendatur pondus 6. </s> <s xml:id="echoid-s2069" xml:space="preserve">ad alteram extremitatem ejus, vide- <pb o="107" file="0113" n="113" rhead="THEOREMATA SPIRITALIA."/> licet eam, quæ eſt ſupra trochleam 4. </s> <s xml:id="echoid-s2070" xml:space="preserve">alligetur anſa vaſis 7. </s> <s xml:id="echoid-s2071" xml:space="preserve">quod tamen <lb/>adeo leve ſit, ut facile à pondere 6. </s> <s xml:id="echoid-s2072" xml:space="preserve">elevari poſſit: </s> <s xml:id="echoid-s2073" xml:space="preserve">poſtea intra vas FG <lb/>adaptetur tubus ſpiritalis 9. </s> <s xml:id="echoid-s2074" xml:space="preserve">qui intra crateram 10. </s> <s xml:id="echoid-s2075" xml:space="preserve">infundat aquam, ex <lb/>qua derivetur canalis 10. </s> <s xml:id="echoid-s2076" xml:space="preserve">11. </s> <s xml:id="echoid-s2077" xml:space="preserve">eidemque vaſiimponatur etiam inflexus ſi-<lb/>phon, vel tubus ſpiritalis 14. </s> <s xml:id="echoid-s2078" xml:space="preserve">cujus unum crus intret in baſim ABCDE, <lb/>alterum exiſtat in tantum ſupra fundum iſtius vaſis, quantum ad fluxum <lb/>aquæ ſufficere putabitur, & </s> <s xml:id="echoid-s2079" xml:space="preserve">ſimile tubi 9. </s> <s xml:id="echoid-s2080" xml:space="preserve">& </s> <s xml:id="echoid-s2081" xml:space="preserve">huic baſi imponatur ſiphon <lb/>inflexus 15, vel etiam alter, ſi neceſſitas requiſierit, vel tubus ſpiritalis 17. <lb/></s> <s xml:id="echoid-s2082" xml:space="preserve">Hoc facto obſervabitur, quod aqua defluens per canalem RSQQ, quia <lb/>vas P altius ſitum eſt, aſcendet in urnas, quas humeris ſuis portant fluvii; </s> <s xml:id="echoid-s2083" xml:space="preserve"><lb/>hanc illi aquam in vas F G effundent, hoc vero dum repletur per ratio-<lb/>nes adductas ab Herone in primo & </s> <s xml:id="echoid-s2084" xml:space="preserve">ſecundo Theoremate, aqua per ſi-<lb/>phonem inflexum 14. </s> <s xml:id="echoid-s2085" xml:space="preserve">defluet@ in baſim ABCDE, & </s> <s xml:id="echoid-s2086" xml:space="preserve">aër, qui in ea eſt, <lb/>quaſi comprimetur, cum aliud corpus eiſuperveniat, & </s> <s xml:id="echoid-s2087" xml:space="preserve">quia fluvii vaſis <lb/>majorem copiam aquæ effundunt, ſe elevabit, & </s> <s xml:id="echoid-s2088" xml:space="preserve">tubus ſpiritalis 9. </s> <s xml:id="echoid-s2089" xml:space="preserve">ipſe <lb/>etiam effundet aquam in crateram 10. </s> <s xml:id="echoid-s2090" xml:space="preserve">& </s> <s xml:id="echoid-s2091" xml:space="preserve">aqua defluens inde per canalem <lb/>10. </s> <s xml:id="echoid-s2092" xml:space="preserve">11. </s> <s xml:id="echoid-s2093" xml:space="preserve">delabetur in vas 7. </s> <s xml:id="echoid-s2094" xml:space="preserve">quod repletum per gravitatem ſuam deſcendet, <lb/>& </s> <s xml:id="echoid-s2095" xml:space="preserve">eodem modo volvetur baculus T V, obturabiturque canalis in ſolido <lb/>S: </s> <s xml:id="echoid-s2096" xml:space="preserve">unde eveniet ut fluvii ceſſent effundere aquam, & </s> <s xml:id="echoid-s2097" xml:space="preserve">dum caput regulæ <lb/>11. </s> <s xml:id="echoid-s2098" xml:space="preserve">deprimetur, quia poſitum eſt in æquilibrio ſuper tubum perforatum, <lb/>emerget ſupra aquam Triton, & </s> <s xml:id="echoid-s2099" xml:space="preserve">foramen tubi X conveniet cum forami-<lb/>ne tubi, & </s> <s xml:id="echoid-s2100" xml:space="preserve">aër compreſſus in baſe ſentiens exitum apertum erumpet cum <lb/>impetu, facietque ſonare concham, quam in ore habebit Triton, & </s> <s xml:id="echoid-s2101" xml:space="preserve"><lb/>quando baſis erit repleta aqua, evacuabit illam inflexus ſiphon 15. </s> <s xml:id="echoid-s2102" xml:space="preserve">& </s> <s xml:id="echoid-s2103" xml:space="preserve">tu-<lb/>bus ſpiritalis 17. </s> <s xml:id="echoid-s2104" xml:space="preserve">& </s> <s xml:id="echoid-s2105" xml:space="preserve">baſis denuo aëre replebitur perforamen conchæ Tri-<lb/>tonis, adeo ut tubo ſpiritali 13. </s> <s xml:id="echoid-s2106" xml:space="preserve">evacuante vas 5. </s> <s xml:id="echoid-s2107" xml:space="preserve">pondus 6. </s> <s xml:id="echoid-s2108" xml:space="preserve">ſurſum trahet <lb/>evacuatum vas, & </s> <s xml:id="echoid-s2109" xml:space="preserve">canalis aquæ denuo fluviis aperietur, & </s> <s xml:id="echoid-s2110" xml:space="preserve">Triton per <lb/>gravitatem ſuam ſe denuo ſubmerget, hæque viciſſitudines ſemper con-<lb/>tingent, quoad canalis Ofluet: </s> <s xml:id="echoid-s2111" xml:space="preserve">& </s> <s xml:id="echoid-s2112" xml:space="preserve">hoc eſt quod propoſuimus.</s> <s xml:id="echoid-s2113" xml:space="preserve"/> </p> <div xml:id="echoid-div139" type="float" level="2" n="1"> <figure xlink:label="fig-0112-01" xlink:href="fig-0112-01a"> <image file="0112-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0112-01"/> </figure> </div> <pb o="108" file="0114" n="114" rhead="JO. BAPT. ALEOTTI."/> <p> <s xml:id="echoid-s2114" xml:space="preserve">Facere ut ope aquæ unici canalis ferveat uſtrina, in qua fa-<lb/>ber detineat & </s> <s xml:id="echoid-s2115" xml:space="preserve">fervefaciat ferrum, poſtea vertat, & </s> <s xml:id="echoid-s2116" xml:space="preserve">im-<lb/>ponat incudi, & </s> <s xml:id="echoid-s2117" xml:space="preserve">ſtatim alii tres fabri malleo contundant <lb/>dictum ferrum per vices, & </s> <s xml:id="echoid-s2118" xml:space="preserve">ad quemvis ictum exiliat <lb/>aqua, quemadmodum ex candente ferro malleo percuſſo <lb/>ſcintillæ exiliunt.</s> <s xml:id="echoid-s2119" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div141" type="section" level="1" n="89"> <head xml:id="echoid-head103" xml:space="preserve"><emph style="sc">Theorema</emph> III.</head> <p> <s xml:id="echoid-s2120" xml:space="preserve">FAbricata incude A ſuper trunco B, pro more fabrorum, ipſi fabri <lb/>CDEF diſpoſiti ſint in quodam plano, inter quos faber E manu te-<lb/>neat ferrum: </s> <s xml:id="echoid-s2121" xml:space="preserve">ſintque omnes vel ex ære, vel ex cupro, dummodo ſint <lb/>cavi vel vacui interius. </s> <s xml:id="echoid-s2122" xml:space="preserve">Adaptetur etiam uſtrina, cujus planum G ejus-<lb/>dem altitudinis ſit cumincude, & </s> <s xml:id="echoid-s2123" xml:space="preserve">in hoc plano ſit vas N. </s> <s xml:id="echoid-s2124" xml:space="preserve">Deinde ſubter <lb/>plano, cui inſiſtunt fabri, diſponatur canalis HI, per quem fluat aqua: <lb/></s> <s xml:id="echoid-s2125" xml:space="preserve">ſed ſub pedibus fabri tenentis ferrum malleo percutiendum, fiat truncus K, <lb/>per quem tranſeat canalis HI, & </s> <s xml:id="echoid-s2126" xml:space="preserve">in latere hujus trunci, quod eſt ſub cal-<lb/>cibus fabri F fiat aliud foramen parvum, cuiimponatur canna L O M, <lb/>una ejus extremitate, id eſt L illi applumbata, altera exiſtente ſub fundo <lb/>vaſis N, quod, ut dixi, poſitum ſit ſuper planum uſtrinæ vel foci; </s> <s xml:id="echoid-s2127" xml:space="preserve"><lb/>iſtudque vas cum cannain M perforatum ſit, & </s> <s xml:id="echoid-s2128" xml:space="preserve">fiat quoque, ut ex canale <lb/>HI tranſeat parvus tubulus in conum cavum P, in quo ſit conus ſolidus ſu-<lb/>ſtentatus ab elaterio cujus impulſu ſponte reſiliat, cujusmodi ſunt in iſtis <lb/>ſeris vel clavaturis, quæ ſponte reſilientes occluduntur, nos vocamus eas. </s> <s xml:id="echoid-s2129" xml:space="preserve"><lb/>Italicè chiavature alla Frateſca, & </s> <s xml:id="echoid-s2130" xml:space="preserve">hic tubulus perforatus derivatur, ut di-<lb/>ctum eſt, ex canali HI, & </s> <s xml:id="echoid-s2131" xml:space="preserve">perforato cono cavo illi applumbetur, ut <lb/>apparet in figura HIP: </s> <s xml:id="echoid-s2132" xml:space="preserve">poſtea mallei inferantur manibus fabrorum, & </s> <s xml:id="echoid-s2133" xml:space="preserve"><lb/>fiat, ut eorum brachia enodentur, ut & </s> <s xml:id="echoid-s2134" xml:space="preserve">lumbi, qui faſcia circumvolvantur, <lb/>ut non appareat enodatio, & </s> <s xml:id="echoid-s2135" xml:space="preserve">quemadmodum de Hercule dixi in primo <lb/>horum quatuor meorum Theorematum, ſint omnes hi tres fabri, qui fer-<lb/>rum malleo percuſſuri ſunt, ita adaptati, ut funis per alterutrum crus du-<lb/>catur, & </s> <s xml:id="echoid-s2136" xml:space="preserve">illo attracto in incudem feriant, & </s> <s xml:id="echoid-s2137" xml:space="preserve">ſub his funibus perpendicu-<lb/>lariter adaptentur intra duo ligna parallela in terrâ fixa tot cylindri, ſeu <lb/>ferrei, ſeu ærei, quot fuerint fabri, quemadmodum clare apparetin fi-<lb/>gura TVX, & </s> <s xml:id="echoid-s2138" xml:space="preserve">in cylindro ſeorſim poſito & </s> <s xml:id="echoid-s2139" xml:space="preserve">notato litera Z: </s> <s xml:id="echoid-s2140" xml:space="preserve">his au-<lb/>tem infixa ſint ferramenta, ut Z. </s> <s xml:id="echoid-s2141" xml:space="preserve">notata 3. </s> <s xml:id="echoid-s2142" xml:space="preserve">4. </s> <s xml:id="echoid-s2143" xml:space="preserve">quæ extra ferramenta <lb/>prominent, quantum ſatis videbitur. </s> <s xml:id="echoid-s2144" xml:space="preserve">Poſtea ſit tornatus fuſus AABB, <pb o="109" file="0115" n="115" rhead="THEOREMATA SPIRITALIA."/> cujus diameter ſit cavus, & </s> <s xml:id="echoid-s2145" xml:space="preserve">ſuperficies exterior ejus dividatur in tres <lb/>partes, lineis notatas, deinde, è regione ferramentorum infixorum <lb/>cylindris T V X, in iſto fuſo ſint alia totidem ferramenta habentia <lb/> <anchor type="figure" xlink:label="fig-0115-01a" xlink:href="fig-0115-01"/> formam 11<unsure/> utin CC notavimus, quæ in tantum extra fuſum promineant, <lb/>ut, dum fuſus circumvolvitur, extollant unam extremitatem ferramento-<lb/>rum infixorum cylindris Z, & </s> <s xml:id="echoid-s2146" xml:space="preserve">notatis 3. </s> <s xml:id="echoid-s2147" xml:space="preserve">4. </s> <s xml:id="echoid-s2148" xml:space="preserve">ſed ſi elevent ferramentum 3. <lb/></s> <s xml:id="echoid-s2149" xml:space="preserve">capiti 4. </s> <s xml:id="echoid-s2150" xml:space="preserve">alligati ſint funes, qui tranſeuntes per crura fabrorum, facient <lb/>ut hi brachia ſua elevent, & </s> <s xml:id="echoid-s2151" xml:space="preserve">in incudem feriant. </s> <s xml:id="echoid-s2152" xml:space="preserve">Poſtea fuſo adaptetur rota <lb/>5. </s> <s xml:id="echoid-s2153" xml:space="preserve">6. </s> <s xml:id="echoid-s2154" xml:space="preserve">7. </s> <s xml:id="echoid-s2155" xml:space="preserve">8. </s> <s xml:id="echoid-s2156" xml:space="preserve">in qua ſint diſpertita ſpacia, ut figura demonſtrat, ibique in-<lb/>terſerantur diaphragmata, ut ſequens figura + demonſtrat, ita torta, ut <lb/>aquam poſſint retinere. </s> <s xml:id="echoid-s2157" xml:space="preserve">Poſtea fiat, ut crux, quæ debet tenere rotam <pb o="110" file="0116" n="116" rhead="JO. BAPT. ALEOTTI"/> affixam fuſo, ſit cava, & </s> <s xml:id="echoid-s2158" xml:space="preserve">hujus foramina intrent in centrum fuſi, qui, ut dixi, <lb/>perforatus ſit. </s> <s xml:id="echoid-s2159" xml:space="preserve">Reliquum eſt, ut dicamus, neceſſe eſſe poſtea ſub pedibus <lb/>fabri E adaptari cannam 13. </s> <s xml:id="echoid-s2160" xml:space="preserve">& </s> <s xml:id="echoid-s2161" xml:space="preserve">14. </s> <s xml:id="echoid-s2162" xml:space="preserve">quæ ita adaptanda eſt, ut circa ſtilum <lb/>volvatur, prout dixiin præterito Theoremate in V T. </s> <s xml:id="echoid-s2163" xml:space="preserve">quæ eadem cum hac <lb/>eſt, & </s> <s xml:id="echoid-s2164" xml:space="preserve">conformis iſti quam deſcripſit Hero Theorem. </s> <s xml:id="echoid-s2165" xml:space="preserve">XV. </s> <s xml:id="echoid-s2166" xml:space="preserve">& </s> <s xml:id="echoid-s2167" xml:space="preserve">hæc canna <lb/>ſit ſolida ab extremitate ſuperiore, quam figemus in truncum K, poſt-<lb/>quam in ea fecerimus foramen; </s> <s xml:id="echoid-s2168" xml:space="preserve">quod claudat & </s> <s xml:id="echoid-s2169" xml:space="preserve">aperiat canalem H I, ejus-<lb/> <anchor type="figure" xlink:label="fig-0116-01a" xlink:href="fig-0116-01"/> que apici applumbatus ſit faber E. </s> <s xml:id="echoid-s2170" xml:space="preserve">Poſtea inferius duabus trochleis 17. </s> <s xml:id="echoid-s2171" xml:space="preserve">18. <lb/></s> <s xml:id="echoid-s2172" xml:space="preserve">imponatur funis, quæ ſit dictæ cannæ circumvoluta, & </s> <s xml:id="echoid-s2173" xml:space="preserve">ad alteram ejus ex-<lb/>tremitatem, nimirum illam, quæ dependebit de trochlea 18. </s> <s xml:id="echoid-s2174" xml:space="preserve">alligetur vas <pb o="111" file="0117" n="117" rhead="THEOREMATA SPIRITALIA."/> 20. </s> <s xml:id="echoid-s2175" xml:space="preserve">in quo ſit inflexus ſiphon, cujus alterum crus tranſeat per fundum, al-<lb/>terum in tantum elevatum ſit ſupra iſtum fundum, quantum ad aquæ flu-<lb/>xum ſufficere videbitur, & </s> <s xml:id="echoid-s2176" xml:space="preserve">funi trochleæ 17. </s> <s xml:id="echoid-s2177" xml:space="preserve">alligetur pondus 19. </s> <s xml:id="echoid-s2178" xml:space="preserve">quod <lb/>ſolum ſit tam grave, ut valeat volvere cannam, & </s> <s xml:id="echoid-s2179" xml:space="preserve">ſecum trahere vas 20. <lb/></s> <s xml:id="echoid-s2180" xml:space="preserve">Poſtea ſub centro fuſi adaptetur catinus <lb/> <anchor type="figure" xlink:label="fig-0117-01a" xlink:href="fig-0117-01"/> 21. </s> <s xml:id="echoid-s2181" xml:space="preserve">qui habeat canalem 22. </s> <s xml:id="echoid-s2182" xml:space="preserve">23. </s> <s xml:id="echoid-s2183" xml:space="preserve">cujus oſ-<lb/>culum immineat vaſi 20. </s> <s xml:id="echoid-s2184" xml:space="preserve">Ita obſervabi-<lb/>mus aquam, quæ fluxit per canalem H I, <lb/>circumvolvere rotam 5. </s> <s xml:id="echoid-s2185" xml:space="preserve">6. </s> <s xml:id="echoid-s2186" xml:space="preserve">7. </s> <s xml:id="echoid-s2187" xml:space="preserve">8. </s> <s xml:id="echoid-s2188" xml:space="preserve">quia ne-<lb/>ceſſe eſt aquâ cadente in concavitates <lb/>rotæ 9. </s> <s xml:id="echoid-s2189" xml:space="preserve">10. </s> <s xml:id="echoid-s2190" xml:space="preserve">11. </s> <s xml:id="echoid-s2191" xml:space="preserve">12. </s> <s xml:id="echoid-s2192" xml:space="preserve">rota circumvolvatur <lb/>propter gravitatem aquæ; </s> <s xml:id="echoid-s2193" xml:space="preserve">dumque illa <lb/>circumvolvitur, ferramenta CC eleva-<lb/>bunt ferramenta 3. </s> <s xml:id="echoid-s2194" xml:space="preserve">quæ dum ſuper cen-<lb/>tris cylindrorum volvuntur, depriment <lb/>extremitatem 4, indeque funes, qui per <lb/>crura fabrorum transmiſſi ſunt, quoque <lb/>trahentur, & </s> <s xml:id="echoid-s2195" xml:space="preserve">illorum brachia elevabunt. <lb/></s> <s xml:id="echoid-s2196" xml:space="preserve">Mallei eorum per vices percutient incudem, & </s> <s xml:id="echoid-s2197" xml:space="preserve">quia radii rotæ ſunt vacui <lb/>(licet neceſſe ſit hæ c foramina eſſe parva, ut parum tantum aquæ per ea <lb/>fluat) defluet aqua in centrum fuſi, indeque fluet in vas 21. </s> <s xml:id="echoid-s2198" xml:space="preserve">& </s> <s xml:id="echoid-s2199" xml:space="preserve">hinc porro in <lb/>vas 20. </s> <s xml:id="echoid-s2200" xml:space="preserve">per canalem 22. </s> <s xml:id="echoid-s2201" xml:space="preserve">23. </s> <s xml:id="echoid-s2202" xml:space="preserve">hoc ubi fuerit repletum, ob gravitatem ſuam <lb/>deſcendet, ſecumque trahet pondus 19. </s> <s xml:id="echoid-s2203" xml:space="preserve">& </s> <s xml:id="echoid-s2204" xml:space="preserve">vertet cannam 13. </s> <s xml:id="echoid-s2205" xml:space="preserve">14. </s> <s xml:id="echoid-s2206" xml:space="preserve">circa cla-<lb/>vum fixum in 15. </s> <s xml:id="echoid-s2207" xml:space="preserve">& </s> <s xml:id="echoid-s2208" xml:space="preserve">conſequenter vertetur faber E, & </s> <s xml:id="echoid-s2209" xml:space="preserve">apparebit ille por-<lb/>tare ferrum ad fervefaciendum illud in focum, facietque interea ſuum ne-<lb/>gotium, ita ut dum ſe vertit, ponat ferrum in ebullitionem aquæ, quæ vere <lb/>ebulliet': </s> <s xml:id="echoid-s2210" xml:space="preserve">nam dum vertitur canna 13. </s> <s xml:id="echoid-s2211" xml:space="preserve">14. </s> <s xml:id="echoid-s2212" xml:space="preserve">clauditur canalis H I, & </s> <s xml:id="echoid-s2213" xml:space="preserve">hinc <lb/>fiet, ut rotâ non amplius volutâ fabri laborare ceſſent: </s> <s xml:id="echoid-s2214" xml:space="preserve">quia vero foramen <lb/>cannæ in vertendo coïncidit cum canali L, aqua ſaliet in catinum N per <lb/>canalem L O M, & </s> <s xml:id="echoid-s2215" xml:space="preserve">ebulliet: </s> <s xml:id="echoid-s2216" xml:space="preserve">ſed memineris ut caveas, ne aqua ebulliens <lb/>ſuos terminos transgrediatur, inque cum finem fac foramina, per quæ di-<lb/>labatur. </s> <s xml:id="echoid-s2217" xml:space="preserve">Interea evacuabitur vas 20. </s> <s xml:id="echoid-s2218" xml:space="preserve">per ſuum vel diabetem, vel ſiphonem, <lb/>perinde enim eſt, & </s> <s xml:id="echoid-s2219" xml:space="preserve">pondus 19. </s> <s xml:id="echoid-s2220" xml:space="preserve">denuo elevabit vas 20. </s> <s xml:id="echoid-s2221" xml:space="preserve">& </s> <s xml:id="echoid-s2222" xml:space="preserve">ſic canna 13. </s> <s xml:id="echoid-s2223" xml:space="preserve">& </s> <s xml:id="echoid-s2224" xml:space="preserve"><lb/>14. </s> <s xml:id="echoid-s2225" xml:space="preserve">converſa faber E denuo ponet ferrum ſuper incudem, & </s> <s xml:id="echoid-s2226" xml:space="preserve">canalis H I <lb/>rurſus aperietur. </s> <s xml:id="echoid-s2227" xml:space="preserve">Qui faciet volvere rotam, & </s> <s xml:id="echoid-s2228" xml:space="preserve">ſic fabri rurſum laborabunt, <lb/>qui feriendo ſuper cono P, id eſt ſuper ſolido, quia cavus erit fere totus <lb/>aqua repletus per canaliculum QR, quilibet ictus mallei faciet exilire <lb/>aquam. </s> <s xml:id="echoid-s2229" xml:space="preserve">Superficies enim ſolidi non tanget ſuperficiem cavi, quia, ut dixi, <lb/>ſuſtentatur ab elaterio. </s> <s xml:id="echoid-s2230" xml:space="preserve">Et hoc fuit nobis propoſitum.</s> <s xml:id="echoid-s2231" xml:space="preserve"/> </p> <div xml:id="echoid-div141" type="float" level="2" n="1"> <figure xlink:label="fig-0115-01" xlink:href="fig-0115-01a"> <image file="0115-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0115-01"/> </figure> <figure xlink:label="fig-0116-01" xlink:href="fig-0116-01a"> <image file="0116-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0116-01"/> </figure> <figure xlink:label="fig-0117-01" xlink:href="fig-0117-01a"> <image file="0117-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0117-01"/> </figure> </div> <pb o="112" file="0118" n="118" rhead="JO. BAPT. ALEOTTI"/> <p> <s xml:id="echoid-s2232" xml:space="preserve">Fabricare conclave, in quo quando libitum fuerit, ventus <lb/>ſpiret, qui id refrigeret, pro libitu modo lenior, modo <lb/>fortior.</s> <s xml:id="echoid-s2233" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div143" type="section" level="1" n="90"> <head xml:id="echoid-head104" xml:space="preserve"><emph style="sc">Theorema</emph> IV.</head> <p> <s xml:id="echoid-s2234" xml:space="preserve">EXcavetur ſub plano conclavis A B C D E, quantum videbitur ſuffice-<lb/>re pro quantitate venti intromittendi, conclave tam latum, quam <lb/>iſtud conclave eſt altum, ad minimum pedibus decem; </s> <s xml:id="echoid-s2235" xml:space="preserve">ſitque calce in-<lb/>termixtis lapidibus æqualis quantitatis plus minus ſubtiliſſimè ſubacta ſe-<lb/>cundum qualitatem calcis optimè oblitum & </s> <s xml:id="echoid-s2236" xml:space="preserve">interlitum: </s> <s xml:id="echoid-s2237" xml:space="preserve">dividaturque in <lb/> <anchor type="figure" xlink:label="fig-0118-01a" xlink:href="fig-0118-01"/> duo conclavia intermedio fornice vel diaphragmata, ut X Y. </s> <s xml:id="echoid-s2238" xml:space="preserve">Quorum <lb/>unumquodque ſit 5 pedum, & </s> <s xml:id="echoid-s2239" xml:space="preserve">oblitum. </s> <s xml:id="echoid-s2240" xml:space="preserve">Quotidie per ſpacium octo die-<lb/>rum humectetur tectorium, complanetur & </s> <s xml:id="echoid-s2241" xml:space="preserve">poliatur optime opera fabri <lb/>murarii, ita ut concavia continere valeant & </s> <s xml:id="echoid-s2242" xml:space="preserve">aërem & </s> <s xml:id="echoid-s2243" xml:space="preserve">aquam, quæ <pb o="113" file="0119" n="119" rhead="THEOREMATA SPIRITALIA."/> nuſquam poſſint exire, in iisque adaptentur duo magni ſiphones S, T, & </s> <s xml:id="echoid-s2244" xml:space="preserve"><lb/>5. </s> <s xml:id="echoid-s2245" xml:space="preserve">qui crure longiore deſcendant in conclave inferius, ſtentque crure bre-<lb/>viori ſuper pavimento conclavis ſuperioris, quantum ad aquæ fluxum <lb/>ſufficiet, & </s> <s xml:id="echoid-s2246" xml:space="preserve">ſimilis his ſit ſiphon T, cujus crus V infra infimum pavimen-<lb/>tum deſcendat, mittatque extremitatem ejus in canalem, per quem aqua <lb/>defluit. </s> <s xml:id="echoid-s2247" xml:space="preserve">In conclavi ſuperiore factum ſit ſive ex petra, ſive ex ære infundi-<lb/>bulum P, cujus cauda R in tantum ſita ſit ſupra planum X Y, quantum <lb/>ſufficere videbitur ad fluxum aquæ, & </s> <s xml:id="echoid-s2248" xml:space="preserve">intra illud derivet aquam canalis <lb/>Q, in quo ſit clavis, qui illum aperiat & </s> <s xml:id="echoid-s2249" xml:space="preserve">claudat pro lubitu noſtro, ut per <lb/>illum transmittamus tantum aquæ, quantum libuerit. </s> <s xml:id="echoid-s2250" xml:space="preserve">Poſtea adapta capi-<lb/>ta ventorum, quot libuerit, in conclavi ſupremo. </s> <s xml:id="echoid-s2251" xml:space="preserve">Conſtruantur canales <lb/>1. </s> <s xml:id="echoid-s2252" xml:space="preserve">F. </s> <s xml:id="echoid-s2253" xml:space="preserve">2. </s> <s xml:id="echoid-s2254" xml:space="preserve">G. </s> <s xml:id="echoid-s2255" xml:space="preserve">3. </s> <s xml:id="echoid-s2256" xml:space="preserve">N. </s> <s xml:id="echoid-s2257" xml:space="preserve">4. </s> <s xml:id="echoid-s2258" xml:space="preserve">I. </s> <s xml:id="echoid-s2259" xml:space="preserve">5. </s> <s xml:id="echoid-s2260" xml:space="preserve">K. </s> <s xml:id="echoid-s2261" xml:space="preserve">6. </s> <s xml:id="echoid-s2262" xml:space="preserve">L. </s> <s xml:id="echoid-s2263" xml:space="preserve">7. </s> <s xml:id="echoid-s2264" xml:space="preserve">M. </s> <s xml:id="echoid-s2265" xml:space="preserve">8. </s> <s xml:id="echoid-s2266" xml:space="preserve">I. </s> <s xml:id="echoid-s2267" xml:space="preserve">quorum oſcula inferiora per pavi-<lb/>mentum conclavis intrent in conclave primum, & </s> <s xml:id="echoid-s2268" xml:space="preserve">alteræ extremitates per-<lb/>tingant in ora ventorum, ita ut canale Qaquam transmittente in infundi-<lb/>bulum P, quantum aquæ influet, adeoque elevabitur ſupra planum X Y, <lb/>tantum aëris per ora ventorum efflabitur, quo conclave refrigerabitur, quia <lb/>hæc ora flabunt, ut ora ventorum, & </s> <s xml:id="echoid-s2269" xml:space="preserve">ut ſemper ſpirent, poſſunt conſtrui <lb/>alii canales ad ora 1. </s> <s xml:id="echoid-s2270" xml:space="preserve">2. </s> <s xml:id="echoid-s2271" xml:space="preserve">3. </s> <s xml:id="echoid-s2272" xml:space="preserve">4. </s> <s xml:id="echoid-s2273" xml:space="preserve">5. </s> <s xml:id="echoid-s2274" xml:space="preserve">6. </s> <s xml:id="echoid-s2275" xml:space="preserve">7. </s> <s xml:id="echoid-s2276" xml:space="preserve">8. </s> <s xml:id="echoid-s2277" xml:space="preserve">qui per medium parietem deſcen-<lb/>dant in conclave inferius oribus apertis, ut cum aqua ſuper plano X Y in <lb/>tantum fuerit elevata, ut operiat totum ſiphonem S, inferius per illum <lb/>ſe evacuabit primum conclave, & </s> <s xml:id="echoid-s2278" xml:space="preserve">dum aqua illa influit in conclave infe-<lb/>rius, quantum aquæ ſupra hujus pavimentum exurget, tantum aëris effla-<lb/>bitur per ora 1. </s> <s xml:id="echoid-s2279" xml:space="preserve">2. </s> <s xml:id="echoid-s2280" xml:space="preserve">3. </s> <s xml:id="echoid-s2281" xml:space="preserve">4. </s> <s xml:id="echoid-s2282" xml:space="preserve">5. </s> <s xml:id="echoid-s2283" xml:space="preserve">6. </s> <s xml:id="echoid-s2284" xml:space="preserve">7. </s> <s xml:id="echoid-s2285" xml:space="preserve">8. </s> <s xml:id="echoid-s2286" xml:space="preserve">cumque hoc conclave per 2 repletum eſt, <lb/>aqua per ſiphonem T delabendo defluet per V. </s> <s xml:id="echoid-s2287" xml:space="preserve">Notandum autem eſt, ut <lb/>ſiphon S conſtruatur tantæ magnitudinis, ut in evacuando conclavi poſſit <lb/>ſuperare caudam R vaſis P, & </s> <s xml:id="echoid-s2288" xml:space="preserve">habebitur continue & </s> <s xml:id="echoid-s2289" xml:space="preserve">ſemper in propoſito <lb/>conclavi ventus maxime refrigerans, pro libitu modo lenior, modo for-<lb/>tior: </s> <s xml:id="echoid-s2290" xml:space="preserve">ſecundum quod plus vel minus aperuerimus canalem Q clave <unsure/>n, <lb/>eam pro lubitu peſſulo vertendo: </s> <s xml:id="echoid-s2291" xml:space="preserve">quod erat propoſitum.</s> <s xml:id="echoid-s2292" xml:space="preserve"/> </p> <div xml:id="echoid-div143" type="float" level="2" n="1"> <figure xlink:label="fig-0118-01" xlink:href="fig-0118-01a"> <image file="0118-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0118-01"/> </figure> </div> <pb o="114" file="0120" n="120" rhead="JO. BAPT. ALEOTTI"/> <p> <s xml:id="echoid-s2293" xml:space="preserve">Modus, quo facimus ut canalis aquæ vel fluentis, vel ſtagnan-<lb/>tis, in verticem cujuſcunque altiſſimæ turris aquam pro-<lb/>jiciat : </s> <s xml:id="echoid-s2294" xml:space="preserve">jam frequens in multis locis, dummodo aqua à ſu-<lb/>perficie ſua aliquantum delabatur.</s> <s xml:id="echoid-s2295" xml:space="preserve"/> </p> <figure> <image file="0120-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0120-01"/> </figure> <p> <s xml:id="echoid-s2296" xml:space="preserve">QUoniam naturales fontes in locis inferioribus, à natura ſitus non ſunt <lb/>conceſſi, propterea artis eſt tales conſtruere, tam in veſtris regioni-<lb/>bus, quam in omnibus aliis locis ſimilibus; </s> <s xml:id="echoid-s2297" xml:space="preserve">ne curioſi abſterreantur difficul-<lb/>tate fluxus aquæ, à praxi eorum, quæ ab Herone excellentiſſimo Mathe-<lb/>matico, & </s> <s xml:id="echoid-s2298" xml:space="preserve">in quatuor modis à me demonſtratis, ſunt deſcripta, volui ad-<lb/>jungere ad iſtum (meo judicio) pulcherrimum librum, hunc modum ele-<lb/>vandi canalem aquæ vivæ in quamcunque altitudinem, ut quod in plano <lb/>natura negavit, artificio facillimo obtineatur, ut & </s> <s xml:id="echoid-s2299" xml:space="preserve">ſumptibus parvis pro <lb/>illo, qui habet vicinos amnes vel foſſas, vel quaſcunque alias aquas fluentes. <lb/></s> <s xml:id="echoid-s2300" xml:space="preserve">Modus ipſe ferme ſine deſcriptione ex figura addiſci poteſt: </s> <s xml:id="echoid-s2301" xml:space="preserve">non videtur <pb o="115" file="0121" n="121" rhead="THEOR EMATA SPIRITALIA."/> tamen inconveniens deſcribere modum fabricandi hanc pulcherrimam <lb/>ſtructuram: </s> <s xml:id="echoid-s2302" xml:space="preserve">interea mihi reſervo alios complures modoselevandiaquam <lb/>in aliam occaſionem, quando Deus mihi otium conceſſerit, ut poſſim <lb/>abſolvere pulchras regulas generales Architecturæ quas jampridem deſcri-<lb/>bereincepi. </s> <s xml:id="echoid-s2303" xml:space="preserve">Fiat itaque rota, cujus diameter ſit ad minimum quinque vel <lb/>ſex pedum, leviſſima, quantum fieri poteſt ex optimo ligno querno, ut ſub <lb/>aqua durare poſſit: </s> <s xml:id="echoid-s2304" xml:space="preserve">craſſities ejus ſit ad minimum ſeſquipedis, & </s> <s xml:id="echoid-s2305" xml:space="preserve">apſis ſive <lb/>extrema linea majoris diametri centrum verſus excavetur uſque in fundum <lb/>unius pedis, poſtea dividatur linea extrema circumferentiæ rotæ in quinde-<lb/>cim ad minimum diaphragmata & </s> <s xml:id="echoid-s2306" xml:space="preserve">diſcernicula ſint torta inſtar dimidiæ C, <lb/>ita C, & </s> <s xml:id="echoid-s2307" xml:space="preserve">prout clare demonſtrat figura A B, cujus diaphragmata ſunt C, D, <lb/>E, F, poſtea decuſſatis radiis ex optimo ligno querno, (quod ſatis dura-<lb/>bile eſt in aqua) diametri bene committantur in centro & </s> <s xml:id="echoid-s2308" xml:space="preserve">circumferentia <lb/>rotæ: </s> <s xml:id="echoid-s2309" xml:space="preserve">vel fiat rota cum ſcytalis, ut G, H: </s> <s xml:id="echoid-s2310" xml:space="preserve">quædam ſcytalarum ſint I, <lb/>K, L, M, quæidem præſtant, neque alia eſt differentia, niſi quod in ro-<lb/>ta A B aqua deſuper cadit ſuper apſidem ſuperiorem: </s> <s xml:id="echoid-s2311" xml:space="preserve">& </s> <s xml:id="echoid-s2312" xml:space="preserve">G H circumvol-<lb/>vitur per aquam ſubter ea fluentem: </s> <s xml:id="echoid-s2313" xml:space="preserve">poſſumus autem facere ut circum-<lb/>volvatur quoque ut altera, ſed iſta circumvolvitur aqua fluente trans cen-<lb/>trum, & </s> <s xml:id="echoid-s2314" xml:space="preserve">hæc fluxu aquæ in tantum cis centrum, differentia hæc eſt, <lb/>quod rota cum ſcytalis circumvolvi poteſt minore fluxu aquæ: </s> <s xml:id="echoid-s2315" xml:space="preserve">nam@ſi <lb/>iſtæ ſcytalæ factæ fuerint ſatis amplæ, rota pauciſſimo fluxu circumvol-<lb/>vetur, & </s> <s xml:id="echoid-s2316" xml:space="preserve">pauciſſima aqua, quemadmodum obſervare licet toto die in <lb/>noſtris molis Paduanis. </s> <s xml:id="echoid-s2317" xml:space="preserve">Hocfacto ſiat ut centrum ſit ex ferro toties & </s> <s xml:id="echoid-s2318" xml:space="preserve">in <lb/>tantum plicato, prout apparet, & </s> <s xml:id="echoid-s2319" xml:space="preserve">quantum videbitur ſecundum quan-<lb/>titatem aquæ, quam voluerimus elevare, vel ſecundumimpetum fluxus <lb/>aquæ, quæ circumvolvet rotam: </s> <s xml:id="echoid-s2320" xml:space="preserve">eorum exemplar apparet in N, O; <lb/></s> <s xml:id="echoid-s2321" xml:space="preserve">ſed melius in P, Q. </s> <s xml:id="echoid-s2322" xml:space="preserve">Hoc infixum centro vicem præſtabit cardinum, ad <lb/>circumvolvendum ibi ſurſum rotam ſuper duobus lignis, vel lapidibus, <lb/>vel parietibus; </s> <s xml:id="echoid-s2323" xml:space="preserve">ut bene circumvolvat, dummodo ſub iſtis cardinibus po-<lb/>nantur eorum (ut diximus) tympana ex ære, quod multo minus abroditur <lb/>à ferro, & </s> <s xml:id="echoid-s2324" xml:space="preserve">multo minus ferrum abrodit, quamferrum abrodit ferrum, <lb/>qui fere ſubito corroditur, & </s> <s xml:id="echoid-s2325" xml:space="preserve">in medio plicarum, ut in R, S, T, V, X, <lb/>applicentur annuli ærei, ne ferrum corrodant: </s> <s xml:id="echoid-s2326" xml:space="preserve">& </s> <s xml:id="echoid-s2327" xml:space="preserve">intra capita eorundem <lb/>affigantur ferramenta cum foraminibus, quæ congruunt, ubi per unum-<lb/>quemque annulum tranfeat plus quam unus cuneus ferreus, quibus cou-<lb/>niantur, ut monſtrat exemplar A A, & </s> <s xml:id="echoid-s2328" xml:space="preserve">hæc ferramenta debent ad mini-<lb/>mum longitudine ſua adæquare diametrum rotæ, & </s> <s xml:id="echoid-s2329" xml:space="preserve">ſubillis perpendicu-<lb/>lariter ponantur modioli ærei, cum aſſariis in fundo, prout in Machina <lb/>Chtheſibiana dicunt Vitruvius, Vegetius, & </s> <s xml:id="echoid-s2330" xml:space="preserve">Valturia, quæ ſunt affariain <pb o="116" file="0122" n="122" rhead="JO. BAPT. ALEOTTI"/> antliis uſitata ad exhauriendam aquam ex navibus, omnique loco humili, & </s> <s xml:id="echoid-s2331" xml:space="preserve"><lb/>in uno iſtorum latere perforetur aliud foramen, ibique collocentur alia <lb/>aſſaria modiolis affixa, ſed quæ enodentur, ita adaptata, ut ad emiffio-<lb/>nem flatus per oſcula 2, 3, 4, 5, foramina claudantur, & </s> <s xml:id="echoid-s2332" xml:space="preserve">aperiantur <lb/>oſcula fundi, & </s> <s xml:id="echoid-s2333" xml:space="preserve">dum in iſta inſlatur, hæc aperiantur, & </s> <s xml:id="echoid-s2334" xml:space="preserve">iſta claudan-<lb/>tur; </s> <s xml:id="echoid-s2335" xml:space="preserve">loca horum funt 6, 7, 8, 9, & </s> <s xml:id="echoid-s2336" xml:space="preserve">horum modiolorum fingulis fint ap-<lb/>plumbatæ cannæ tam amplioris ut intra illas poſſint moveri dicta affaria, <lb/>ſed fint aliquanto arctiores verſus alteram extremitatem, & </s> <s xml:id="echoid-s2337" xml:space="preserve">illæ tandem <lb/> <anchor type="figure" xlink:label="fig-0122-01a" xlink:href="fig-0122-01"/> uniuntur in una ſola canna, (prout apparet in figura num. </s> <s xml:id="echoid-s2338" xml:space="preserve">10.) </s> <s xml:id="echoid-s2339" xml:space="preserve">quæ an-<lb/>gulum facit, ut in 11. </s> <s xml:id="echoid-s2340" xml:space="preserve">& </s> <s xml:id="echoid-s2341" xml:space="preserve">inde perpendiculariter erigitur pro lubitu in <lb/>quamvis altitudinem, ut in 12. </s> <s xml:id="echoid-s2342" xml:space="preserve">poſtea ferramentis, quæ vocantur ſemi-<lb/>haſtæ, affixiſint cylindriſolidi ex corio, qui denodantur in junctura iſta-<lb/>rum ſemihaſtarum ita ut per medium iſtorum poſſit transmittiferrum non <lb/>nimis craſſum, quo arcte contineantur ſcutulæ coriaceæ: </s> <s xml:id="echoid-s2343" xml:space="preserve">iſti imponantur <lb/>modiolis, qui tam exactè perillos elevantur & </s> <s xml:id="echoid-s2344" xml:space="preserve">demittuntur, ut haurire <lb/>queant aquam per aſſaria, & </s> <s xml:id="echoid-s2345" xml:space="preserve">dimittere. </s> <s xml:id="echoid-s2346" xml:space="preserve">Si jam ſupra rotam cadat aqua <pb o="117" file="0123" n="123" rhead="THEOREMATA SPIRITALIA."/> ex canali 13, vel 14. </s> <s xml:id="echoid-s2347" xml:space="preserve">circumvolvetur rota, & </s> <s xml:id="echoid-s2348" xml:space="preserve">cylindriaſcendentes & </s> <s xml:id="echoid-s2349" xml:space="preserve">de-<lb/>ſcendentes, aſcendendo ſurſum trahent aquam, & </s> <s xml:id="echoid-s2350" xml:space="preserve">deſcendendo dimittent <lb/>per cannas 6, 7, 8, 9, in cannam 10 & </s> <s xml:id="echoid-s2351" xml:space="preserve">11 quæ adeo erit preſſa vi circum-<lb/>volutæ rotæ, ut pro libitu in quamvis altitudinem cum impetu feratur. <lb/></s> <s xml:id="echoid-s2352" xml:space="preserve">Notandum autem eſt, ut ubiad deſtinatum locum pervenerit, ibi adſit <lb/>vas recipiens, ex quo aqua derivetur in aliam cannam, quæ eam deorſum <lb/>ferat; </s> <s xml:id="echoid-s2353" xml:space="preserve">& </s> <s xml:id="echoid-s2354" xml:space="preserve">ſic per ejus violentum defluxum quidvis præſtari poterit: </s> <s xml:id="echoid-s2355" xml:space="preserve">& </s> <s xml:id="echoid-s2356" xml:space="preserve">ſi <lb/>in iſto vaſe plus aquæ influat, poterimus alia canna terminata facere, ut <lb/>inde per ſe ipſam effluat, circumdando, ut omnes modioli ſtentintra <lb/>aquam, & </s> <s xml:id="echoid-s2357" xml:space="preserve">ſorſitan non fuerit commodum ſacere locum rotæ ſeparatum à <lb/>loco modiolorum: </s> <s xml:id="echoid-s2358" xml:space="preserve">omnis autem aqua, utut lutoſa & </s> <s xml:id="echoid-s2359" xml:space="preserve">turbida, omnino <lb/>apta eſt ad circumvolvendum rotam: </s> <s xml:id="echoid-s2360" xml:space="preserve">verum ad projiciendum eam per <lb/>cylindros in modiolos, oportet eſſe liquidam, ut exitus cannarum claudan-<lb/>tur cum luto, ſi aqua intro occludatur: </s> <s xml:id="echoid-s2361" xml:space="preserve">cui rei prævideriſolet ſoratori-<lb/>bus, & </s> <s xml:id="echoid-s2362" xml:space="preserve">quia aqua non elevatur ſupra cylindros: </s> <s xml:id="echoid-s2363" xml:space="preserve">ſed ſemperad quoddam <lb/>ſignum ſubſiſtit, neceſſe eſt illi etiam facere ſuos exitus, ne poſſit exce-<lb/>dere locum determinatum. </s> <s xml:id="echoid-s2364" xml:space="preserve">Reliquum artificii facillimo negotio capi po-<lb/>teſt ex ipſa ſigura, neque videtur nune quid amplius hac de re dicendum; </s> <s xml:id="echoid-s2365" xml:space="preserve"><lb/>niſi ut monſtrem, quâ ratione idem eſſectus, quem deſcripſimus de aqua <lb/>fluente, præſtari poſſit ſacile opera uuius hominis, & </s> <s xml:id="echoid-s2366" xml:space="preserve">equi: </s> <s xml:id="echoid-s2367" xml:space="preserve">neque multum <lb/>laborabo in deſcribendis his artiſiciis, cum figuræ horum duorum modo-<lb/>rum ſufficiant ad eorum intelligentiam. </s> <s xml:id="echoid-s2368" xml:space="preserve">Solum nunc dicemus, Deo vo-<lb/>lente, & </s> <s xml:id="echoid-s2369" xml:space="preserve">demonſtrabimus propter velocitatem motuum circularium, <lb/>quomodo pondera attrahantur & </s> <s xml:id="echoid-s2370" xml:space="preserve">projiciantur.</s> <s xml:id="echoid-s2371" xml:space="preserve"/> </p> <div xml:id="echoid-div144" type="float" level="2" n="2"> <figure xlink:label="fig-0122-01" xlink:href="fig-0122-01a"> <image file="0122-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0122-01"/> </figure> </div> <pb o="118" file="0124" n="124" rhead="JO. BAPT. ALEOTTI"/> <figure> <image file="0124-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0124-01"/> </figure> <p> <s xml:id="echoid-s2372" xml:space="preserve">ADdam duntaxat hunc modum elevandi & </s> <s xml:id="echoid-s2373" xml:space="preserve">demittendi cylindros co-<lb/>ria eos in modiolis æreis, opera unici hominis, impueri debilis, Suc-<lb/>ceſſus ſemper eſt velociſſimus (propter motus circulares demonſtratos ab <lb/>Ariſtotele in mechanicis) cum vis movens in A, ceu procul à centro, quod <lb/>eſt axis vectis B motum illum cauſet, cumque ſecunda vis in C minus di-<lb/>ſter à centro B, facile movetur a vi A. </s> <s xml:id="echoid-s2374" xml:space="preserve">Sed tertia vis D debet habere ra-<lb/>dium majorem quam C, & </s> <s xml:id="echoid-s2375" xml:space="preserve">minorem quam A, ut crux lignea impoſita <lb/>fuſo E cum ponderibus B, G, H, I, ſibialligatis, quando moveri coepe- <pb o="119" file="0125" n="125" rhead="THEOREMATA SPIRITALIA."/> runt, rapidiorem motum faciat, & </s> <s xml:id="echoid-s2376" xml:space="preserve">vim moventem multo minorem. </s> <s xml:id="echoid-s2377" xml:space="preserve">Po-<lb/>ſito itaque tympano vel rotula dentata intra fuſum E, ita ut dentes per-<lb/>tingant inter gradus rhombi L, infixi ferro plicato, quod eſt centrum, <lb/>ubi ſunt appenſæ ſemihaſtæ, quæ alligatæ ſunt axibus cylindrorum coria-<lb/>ceorum, qui per modiolos adaptatos cum ſuis aſſariis, ut ſupra dixi, <lb/>cauſabunt fluxum aquæ velociſſimum in quamvis altitudinem.</s> <s xml:id="echoid-s2378" xml:space="preserve"/> </p> <figure> <image file="0125-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0125-01"/> </figure> <p> <s xml:id="echoid-s2379" xml:space="preserve">IDem motus ejuſdem velocitatis obtinebitur, ſi in fuſo (cuiinfixa ſit <lb/>rota dentata, quæ dentibus ſuis pertingit intra gradus rhombi L, qui <lb/>circumvolvit centrum, de quo dependent ſemihaſt æ cylindrorum, qui <lb/>per modiolos elevantur & </s> <s xml:id="echoid-s2380" xml:space="preserve">deprimuntur) fuerit in flxa longa pertica, ita <lb/>ut juncto equo poſſit commode duci circum fuſum ſuper ſolo ligno infi-<lb/>xum, ut in O, & </s> <s xml:id="echoid-s2381" xml:space="preserve">ſuperius circumvolvi per aliud foramen ad O perpen-<lb/>diculare, notatum P, curandum autem, ut ſub iſto ligno fuſus exacte <lb/>circumvolvatur, ne in circumvolutione dentesrotæ ſupra rhombum ele- <pb o="120" file="0126" n="126" rhead="JO. BAPT. ALEOTTI THEOR. SPIR."/> ventur; </s> <s xml:id="echoid-s2382" xml:space="preserve">quamobrem neceſſe eſt ligno inferiori ſubter cardine fuſi applica-<lb/>ri matriculam æream, in qua ſit foramen, inque eo circumvolvatur cen-<lb/>trum dicti fuſi: </s> <s xml:id="echoid-s2383" xml:space="preserve">illud foramen ſemper ſit plenum oleo, ne ferrum & </s> <s xml:id="echoid-s2384" xml:space="preserve">æs <lb/>dum calefiunt molleſcant, quia ſic ſtatim detererentur: </s> <s xml:id="echoid-s2385" xml:space="preserve">& </s> <s xml:id="echoid-s2386" xml:space="preserve">hæc nunc dicta <lb/>ſunto de elevatione per modum projectionis aquæ fluentis, opera unici <lb/>hominis, unicique equi.</s> <s xml:id="echoid-s2387" xml:space="preserve"/> </p> </div> <div xml:id="echoid-div146" type="section" level="1" n="91"> <head xml:id="echoid-head105" style="it" xml:space="preserve">Finis Theorematum adjunctorum.</head> <figure> <image file="0126-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0126-01"/> </figure> <pb file="0127" n="127"/> <pb file="0128" n="128"/> <pb file="0129" n="129"/> <pb file="0130" n="130"/> </div></text> </echo>